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Electric fields are produced by the presence of voltage or an electrical charge: the higher the voltage, the greater the electric field. Q: Could a simple cup of coffee be heated by a hand held device designed to not only mix but heat the water through friction, and is that more efficient than heating on a stove and then mixing?

Mathematician: It is impossible to know precisely what Einstein meant by this quote without being able to ask him. Perhaps what Einstein meant when he claimed to have difficulties in math is that he felt as though it was a struggle to learn some of the very advanced math necessary for formulating his theories, or that (compared to mathematicians or mathematical physicists) his math skills were not exemplary. This entry was posted in -- By the Mathematician, -- By the Physicist, -- Guest Author, Philosophical, Physics. Our life is a continuous struggle like mathematical problem that if you always look on difficulties, you might lost focusing how to resolve it.. I think it means that the more you learn about math, the more you realize how much you don’t know. Maybe we can compare it to 1 graders maths and university maths – the first grader struggles with the simplest of maths, but what Einstein is saying is that the university student also struggles, but with much more complex maths. What is really amazing is how others claim they understand it… Sigh, the biggest liars are academics. However, if understanding means holding it all in your head at the same time and seeing every possible repercussion, then you could make the argument that nobody understands anything. And still my difficulties are greater than the imagination about how much hard mathematics is for you. I think that when Einstein make refer about the math, he refer about like the math help to the physic people with his understanding, however I don’t think that Einstein would thinking first the math and after, he understand about the fenomenal phisic for describe. I believe the quote was simply a joke that was put into perspective through his eyes that could be used for encouragement.

This was Einstein’s reply to his 8-year-old neighbor, when she knocked on his door asking him to help her with her math. Ahh Tom, didn’t know that one if it was in that context I too think he meant it as a harmless joke.

I love reading all these attempts to understand what my good friend Einstein meant with this quote. To me it says that he had some seemingly impossible problems in his work (that he probably worked through). Although his theories might collapse one day, him as a philosopher still hasn’t got the recognition he deserves. In grade school, when I was so worried about his lack of ability to rote memorize math facts, his pediatrician noted that rote memorization is not true understanding, and that in the long run, he may be better off. Perhaps what Einstein meant by the comment – “Since the mathematicians have invaded the theory of relativity, I do not understand it myself anymore” is that mathematicians literary takes every solution of his relativity equations as possibility in Physical world. Perhaps building mathematics before realizing truth about underlying Physics may be the reason we are grappling with some problems in interpretation of prevalent Physics theories like relativity.

As I think about another quote by Einstein, I am lead to believe that he is suggesting that his quest for knowledge of math has and always will, lead to more difficult questions or problems. Einstein was remarkable in that he pondered and questioned (we good Catholics are not supposed to question! Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. I'm still learning secondary school physics and I'm very new to this topic and so please explain it in laymen terms if possible. Not the answer you're looking for?Browse other questions tagged electromagnetism electric-fields magnetic-fields or ask your own question. Possible to generate an electromagnetic field from moving an object through a magnetic field? How does the electric field pulse propagate during a change in the magnetic vector potential?

We need to understand the pattern of field lines around a straight conductor carrying current and also the direction of these field lines.

Because electricity and magnetism are the same thing (Electromagnetism!) We need to understand both of them a little more before we can link them together. The field lines represent the direction that the force would act on a magnetized object if it were placed in the field at that point. Now use a Hall Probe to determine the magnetic field strength at different places around your bar magnet.

In magnets all the atoms are lined up in the same way so that the magnetic effect of each on adds up, and an overall magnetic effect is created. In non-magnets the atoms are not lined up, but orientated at random, so that their magnetic effects effectively cancel each other out. By stroking a magnetic material such as steel with one end of a magnet it is possible to turn that material into a magnet. Design, carry out and analyse an experiment to investigate the strength of an electromagnet. You should write up your experiment as a lab report, so as to meet the criteria in the KS4 rubric. Electricity can cause magnetism and magnetism can cause electricity- The two things interact. You will notice that the direction the pin moves, the direction of the current and the direction of the magnetic field lines are all at right angles. You must use the equipment and instruction sheet to construct your own working motor and complete the worksheet.

Possibly the best thing about electromangetism is the ability it gives us to generate electricity, and transfer it from one place to another efficiently.

This relys on alternating current , which is the type of electric current we get from generators.

So far we have looked at how we use the interaction between electricity and magnetism to get movement. Transformers are devices that do this for us, to create useable voltages for our electronic devices. If two parallel plates (one negative and one positive) form an electric field that particles from radioactive decay are made to travel through the particles that are charged will accelerate towards the plate with opposite charge. The gamma ray has no charge so it is not affected by this 'electric landscape' and will just continue on its straight path. Moving charged particles experience a force when they travel in a magnetic field that is at right angles to their path.

Virtually all human beings in industrialized countries are exposed to them most of the time.

Magnetic fields also result from current or the flow of electricity in a wire; field strength increases as the current increases and decreases as distance from the wire increases. AEP is obligated to meet its customers’ needs by providing service that is reliable and economical and as safe as possible. We have participated in EMF research through membership in trade associations and have communicated with customers and employees on the issue. It is often taken to mean that he did not have a strong understanding of math or that he was bad at it when he was young. I think an advanced math problem is still harder even for someone who is good at it than a simple problem is for someone who has trouble with math.

I think Einstein’s intent was that when you push beyond your boundaries, you invariably struggle.

If you are worry now on difficulties of your early Life, How much more the greater difficulties that you will face in the future.

I believe what Einstein meant by this quote was not in a rude way, (my math is harder than yours), I think what he meant by this is that the difficulties he had trying to understand and comprehend the material was much more difficult for him than he thought it was for the average person, or more so he may be saying it was very difficult for him to achieve an understanding of the mathematics he was involved in compared to others ability near his level, perhaps. That did not mean they were not difficult problems; they were just within his capabilities. At last I got a web site from where I can really take helpful facts regarding my study and knowledge. For example, relativity forbids formation of trapped surfaces and yet we assume every black hole has singularity. The formula for motional emf $emf = vBl$ is derived from the fact that $E = vb$ and that was because the charges are in the electromagnetic equilibrium. The density of the field lines (how close together they are) represents how strong the field is. What you are doing is using the magnetic field of the magnet to push all of the atoms in the steel pin into line, and thus turning the steel pin into a magnet.

Then verify that it is done using the Hall probe to measure the magnetic field strength of one of the poles of your magnet. This is Flemmings left hand rule , which we use to predict the effects of electromagnetic interactions.

This is because a changing magnetic field causes an electric current to flow- magnetic field lines 'cut' a conducting wire. An alpha particle will therefore accelerate towards the negative plate and the beta particle towards the positive plate. The force acts mutually at right angles to the direction the particle is travelling and the direction of the field so it takes a circular path.

We must design and operate our electric system in a manner consistent with all these obligations.

It is simply wrong, however, to say that Einstein was bad at math. Some of his papers were quite mathematically sophisticated, involving advanced subjects such as stochastic differential equations and tensor calculus.

All of this being said, the original quote was actually directed at young students, so it may have reflected little more than an attempt to encourage them to persevere despite their perceived difficulties. In the period between the publication of special relativity and general relativity he took some time to learn enough differential geometry to develop his ideas. I use this quote (and others) with my students to combat the common notion that having difficulty understanding something necessarily equates to a lack of capability.

And I guess he found some applications of his equations to become increasingly weird, although based on the same mathematics he himself had used.

But your local clock will always give you a same measure relative your life span, so you going to some neutron star won’t change that. On the other hand, the human nature with regard to love, God, good & evil, emotions, truth, wisdom, intelligence, intelligence of the heart, etc.

Einstein had the mindset to always keep pushing forward and never let negative emotions with no benefit get in the way. But despite the greater speed, the larger mass makes the alpha particle have a lot more momentum than the beta particle. This apparently did not come easily to him, and involved a lot of consultation with other people in Europe. He and Levi-Civita were in very frequent communication for example. This makes charges accelerate as they move in a potential gradient, just like a ball would accelerate if it rolled down a hill. Therefore an alpha particle is deflected less that an beta particle in a given electric field because of its higher momentum. So he may have been responding to someones comment of the sort we all hear that they we’re having a hard time with math.

He, however refused to accept this(like many great minds) and in trying to come to absolute truths on these matters, he looked back at mathematics as silly in comparison to knowing the Self.

The status quo of Newtonian physics which was widely accepted, and still is (no doubt Newton gave much to physics and mathematics), but it didn’t answer that annoying question. If the speed of light in a vacuum is the fastest known speed and a constant, then what accounts for the difference when a stationary observer sees a distant stationary source of light (travelling toward him at light speed, c) and another distant, but moving, source of light, say that headlamp of a train going 60mph (whose light also travels toward him at c). In either case light comes toward the stationary observer at the same speed (c) despite that fact that one source is moving relative to the other. Einstein did some remarkable thought experiments simply because they were too impractical or impossible to be whipped up in a lab.

Since speed of light is constant in a vacuum, irrespective of the speed of the light source, then what needs to change to make this possible? Oh, yea, I was born well after Einstein… guess I’ll have to work on other problems like what existed on the other side of Planck’s wall). Yet, if I could get on the train and move at incredible speeds, I wouldn't notice my own time changing. But, relative to the stationary observer, I would age at a lower rate (think of all the Hollywood stars that would jump at this opportunity? Where can they board such a train?) No one thought of this until Einstein because we all reside in a relatively low speed world where Newtonian physics works just fine for practically all everyday experiences. Weird Al spent the next decades of his life trying to find a grand, unifying theory but, unfortunately, never got to one despite his efforts. String Theory seems to have come to the fore as a unifying theory with little-known, quiet and humble geniuses like Ed Witten at the helm, another Princeton professor, as was Einstein. If I had not become an engineer, I surely would have pursued physics and plucked a few strings like Ed and like Al (violin).

Mathematician: It is impossible to know precisely what Einstein meant by this quote without being able to ask him. Perhaps what Einstein meant when he claimed to have difficulties in math is that he felt as though it was a struggle to learn some of the very advanced math necessary for formulating his theories, or that (compared to mathematicians or mathematical physicists) his math skills were not exemplary. This entry was posted in -- By the Mathematician, -- By the Physicist, -- Guest Author, Philosophical, Physics. Our life is a continuous struggle like mathematical problem that if you always look on difficulties, you might lost focusing how to resolve it.. I think it means that the more you learn about math, the more you realize how much you don’t know. Maybe we can compare it to 1 graders maths and university maths – the first grader struggles with the simplest of maths, but what Einstein is saying is that the university student also struggles, but with much more complex maths. What is really amazing is how others claim they understand it… Sigh, the biggest liars are academics. However, if understanding means holding it all in your head at the same time and seeing every possible repercussion, then you could make the argument that nobody understands anything. And still my difficulties are greater than the imagination about how much hard mathematics is for you. I think that when Einstein make refer about the math, he refer about like the math help to the physic people with his understanding, however I don’t think that Einstein would thinking first the math and after, he understand about the fenomenal phisic for describe. I believe the quote was simply a joke that was put into perspective through his eyes that could be used for encouragement.

This was Einstein’s reply to his 8-year-old neighbor, when she knocked on his door asking him to help her with her math. Ahh Tom, didn’t know that one if it was in that context I too think he meant it as a harmless joke.

I love reading all these attempts to understand what my good friend Einstein meant with this quote. To me it says that he had some seemingly impossible problems in his work (that he probably worked through). Although his theories might collapse one day, him as a philosopher still hasn’t got the recognition he deserves. In grade school, when I was so worried about his lack of ability to rote memorize math facts, his pediatrician noted that rote memorization is not true understanding, and that in the long run, he may be better off. Perhaps what Einstein meant by the comment – “Since the mathematicians have invaded the theory of relativity, I do not understand it myself anymore” is that mathematicians literary takes every solution of his relativity equations as possibility in Physical world. Perhaps building mathematics before realizing truth about underlying Physics may be the reason we are grappling with some problems in interpretation of prevalent Physics theories like relativity.

As I think about another quote by Einstein, I am lead to believe that he is suggesting that his quest for knowledge of math has and always will, lead to more difficult questions or problems. Einstein was remarkable in that he pondered and questioned (we good Catholics are not supposed to question! Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. I'm still learning secondary school physics and I'm very new to this topic and so please explain it in laymen terms if possible. Not the answer you're looking for?Browse other questions tagged electromagnetism electric-fields magnetic-fields or ask your own question. Possible to generate an electromagnetic field from moving an object through a magnetic field? How does the electric field pulse propagate during a change in the magnetic vector potential?

We need to understand the pattern of field lines around a straight conductor carrying current and also the direction of these field lines.

Because electricity and magnetism are the same thing (Electromagnetism!) We need to understand both of them a little more before we can link them together. The field lines represent the direction that the force would act on a magnetized object if it were placed in the field at that point. Now use a Hall Probe to determine the magnetic field strength at different places around your bar magnet.

In magnets all the atoms are lined up in the same way so that the magnetic effect of each on adds up, and an overall magnetic effect is created. In non-magnets the atoms are not lined up, but orientated at random, so that their magnetic effects effectively cancel each other out. By stroking a magnetic material such as steel with one end of a magnet it is possible to turn that material into a magnet. Design, carry out and analyse an experiment to investigate the strength of an electromagnet. You should write up your experiment as a lab report, so as to meet the criteria in the KS4 rubric. Electricity can cause magnetism and magnetism can cause electricity- The two things interact. You will notice that the direction the pin moves, the direction of the current and the direction of the magnetic field lines are all at right angles. You must use the equipment and instruction sheet to construct your own working motor and complete the worksheet.

Possibly the best thing about electromangetism is the ability it gives us to generate electricity, and transfer it from one place to another efficiently.

This relys on alternating current , which is the type of electric current we get from generators.

So far we have looked at how we use the interaction between electricity and magnetism to get movement. Transformers are devices that do this for us, to create useable voltages for our electronic devices. If two parallel plates (one negative and one positive) form an electric field that particles from radioactive decay are made to travel through the particles that are charged will accelerate towards the plate with opposite charge. The gamma ray has no charge so it is not affected by this 'electric landscape' and will just continue on its straight path. Moving charged particles experience a force when they travel in a magnetic field that is at right angles to their path.

Virtually all human beings in industrialized countries are exposed to them most of the time.

Magnetic fields also result from current or the flow of electricity in a wire; field strength increases as the current increases and decreases as distance from the wire increases. AEP is obligated to meet its customers’ needs by providing service that is reliable and economical and as safe as possible. We have participated in EMF research through membership in trade associations and have communicated with customers and employees on the issue. It is often taken to mean that he did not have a strong understanding of math or that he was bad at it when he was young. I think an advanced math problem is still harder even for someone who is good at it than a simple problem is for someone who has trouble with math.

I think Einstein’s intent was that when you push beyond your boundaries, you invariably struggle.

If you are worry now on difficulties of your early Life, How much more the greater difficulties that you will face in the future.

I believe what Einstein meant by this quote was not in a rude way, (my math is harder than yours), I think what he meant by this is that the difficulties he had trying to understand and comprehend the material was much more difficult for him than he thought it was for the average person, or more so he may be saying it was very difficult for him to achieve an understanding of the mathematics he was involved in compared to others ability near his level, perhaps. That did not mean they were not difficult problems; they were just within his capabilities. At last I got a web site from where I can really take helpful facts regarding my study and knowledge. For example, relativity forbids formation of trapped surfaces and yet we assume every black hole has singularity. The formula for motional emf $emf = vBl$ is derived from the fact that $E = vb$ and that was because the charges are in the electromagnetic equilibrium. The density of the field lines (how close together they are) represents how strong the field is. What you are doing is using the magnetic field of the magnet to push all of the atoms in the steel pin into line, and thus turning the steel pin into a magnet.

Then verify that it is done using the Hall probe to measure the magnetic field strength of one of the poles of your magnet. This is Flemmings left hand rule , which we use to predict the effects of electromagnetic interactions.

This is because a changing magnetic field causes an electric current to flow- magnetic field lines 'cut' a conducting wire. An alpha particle will therefore accelerate towards the negative plate and the beta particle towards the positive plate. The force acts mutually at right angles to the direction the particle is travelling and the direction of the field so it takes a circular path.

We must design and operate our electric system in a manner consistent with all these obligations.

It is simply wrong, however, to say that Einstein was bad at math. Some of his papers were quite mathematically sophisticated, involving advanced subjects such as stochastic differential equations and tensor calculus.

All of this being said, the original quote was actually directed at young students, so it may have reflected little more than an attempt to encourage them to persevere despite their perceived difficulties. In the period between the publication of special relativity and general relativity he took some time to learn enough differential geometry to develop his ideas. I use this quote (and others) with my students to combat the common notion that having difficulty understanding something necessarily equates to a lack of capability.

And I guess he found some applications of his equations to become increasingly weird, although based on the same mathematics he himself had used.

But your local clock will always give you a same measure relative your life span, so you going to some neutron star won’t change that. On the other hand, the human nature with regard to love, God, good & evil, emotions, truth, wisdom, intelligence, intelligence of the heart, etc.

Einstein had the mindset to always keep pushing forward and never let negative emotions with no benefit get in the way. But despite the greater speed, the larger mass makes the alpha particle have a lot more momentum than the beta particle. This apparently did not come easily to him, and involved a lot of consultation with other people in Europe. He and Levi-Civita were in very frequent communication for example. This makes charges accelerate as they move in a potential gradient, just like a ball would accelerate if it rolled down a hill. Therefore an alpha particle is deflected less that an beta particle in a given electric field because of its higher momentum. So he may have been responding to someones comment of the sort we all hear that they we’re having a hard time with math.

He, however refused to accept this(like many great minds) and in trying to come to absolute truths on these matters, he looked back at mathematics as silly in comparison to knowing the Self.

The status quo of Newtonian physics which was widely accepted, and still is (no doubt Newton gave much to physics and mathematics), but it didn’t answer that annoying question. If the speed of light in a vacuum is the fastest known speed and a constant, then what accounts for the difference when a stationary observer sees a distant stationary source of light (travelling toward him at light speed, c) and another distant, but moving, source of light, say that headlamp of a train going 60mph (whose light also travels toward him at c). In either case light comes toward the stationary observer at the same speed (c) despite that fact that one source is moving relative to the other. Einstein did some remarkable thought experiments simply because they were too impractical or impossible to be whipped up in a lab.

Since speed of light is constant in a vacuum, irrespective of the speed of the light source, then what needs to change to make this possible? Oh, yea, I was born well after Einstein… guess I’ll have to work on other problems like what existed on the other side of Planck’s wall). Yet, if I could get on the train and move at incredible speeds, I wouldn't notice my own time changing. But, relative to the stationary observer, I would age at a lower rate (think of all the Hollywood stars that would jump at this opportunity? Where can they board such a train?) No one thought of this until Einstein because we all reside in a relatively low speed world where Newtonian physics works just fine for practically all everyday experiences. Weird Al spent the next decades of his life trying to find a grand, unifying theory but, unfortunately, never got to one despite his efforts. String Theory seems to have come to the fore as a unifying theory with little-known, quiet and humble geniuses like Ed Witten at the helm, another Princeton professor, as was Einstein. If I had not become an engineer, I surely would have pursued physics and plucked a few strings like Ed and like Al (violin).

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