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Student Responses to Reading Quiz #10, due Friday February 20 Question 1: How many Maxwell's equations are there? Which ones have we worked with previously? 1. There are four Maxwell equations. We have worked with Gauss's Law and Faraday's Law. 2. Four, Gauss's Law, Faraday's Law 3. There are four versions of Maxwell's equation. We have worked with the generilizations for Gauss's law, for Faradays law, and we just read about the final two for Guass's law on Magnetism, and Ampere's law. 4. There are 4 Maxwell's equations and we have worked with Gauss's Law, which deals with the first two, and we have worked with the third equation which is Faraday's Law. The last equation is a modification of Ampere's law, which we read about earlier in today's reading. 5. Four. We have worked with Gauss's Law and Faraday's Law. 6. There are four Maxwell's equations. We have really only worked with the first (Gauss's Law for flux/electric field) and third (Faraday's Law). The second one is sort of just another application of Gauss's law, though, and we have worked with Gauss's law. The fourth one looks new to me, and is Maxwell's correction of Ampere's law. 7. There are 4 Maxwell equations. We have worked with the first three previously. 8. there are 4 maxwell equations, we have worked with gauss's law, gauss's law for magnetism, and faraday's law 9. i find 32-6c very interesting for it relates E to B 10. four. It looks like we have worked with all of them in one way or another. 11. Four equations compose Maxwell's equations. We have previously worked with two of them: Gauss's law and Faraday's law. 12. There are 4 equations. We've worked w/ Gauss's Law and Faraday's Law before. Ampere's Law and Gauss's law for magnetism were also used. 13. 4 The 1st one 14. There are four Maxwell Equations. We've dealt with all but Gauss's law of magnetism. 15. There are four maxwell's equations. We used Gauss's Law and Faraday's Law in the past, and a less general form of Ampere's law. 16. There are four equations. We have worked with all of them, but not always in the form in which they are presented in this chapter. 17. 18. There are four Maxwell equations convienently listed on the sheet. We've already worked with the equation relating electric field to contained charge and faraday's law in a different context. Question 2: Which Maxwell equation(s) do you find most interesting? Why? 1. I find Faraday's Law the most interesting equation because it relates magnetic flux, magnetic fields and electric fields. I never knew that you could create an electric field from a changing magnetic flux. 2. Maxwell's version of Ampere's law because it ties both electric and magnetic fields together (and it was not on the Unit 1 test) 3. Maxwells equations for Faraday's law seems like the most powerful. It relates magnetic fields to electric fiels. Much of the electricity generation in the world is due to this law. 4. I find his modification on Ampere's law to be the most interesting because he was took an existing law and changed it so it could be used for all current situations. I also find it interesting that he noticed a flaw in the original equation to begin with and then found a way to correct it. 5. I think Faraday's law is the most interesting, because it provides basic knowledge on how to easily generate electricity. The relationship between Faraday’s law and Ampere’s law is also interesting. Faraday’s law shows that a changing magnetic field produces a electric field, while Ampere’s law shows that a changing electric field produces a magnetic field. 6. It's a tough call--they're all interesting. I think I'll randomly pick the second one. This one interests me because of the whole non-existence of magnetic monopoles. I just think that's cool. It's also very elegant in its simplicity: any closed surface has a net magnetic flux of zero. And I was always a fan of Gauss's law anyway... 7. I find faraday's law most interesting of maxwell's equations. It tells you how the electric field lines encircle the and area where the magnetic flux is changing. I think its interesting how it relates the electric field and the rate of change in the magnetic field. 8. i like equation number 3 because it explains the solenoid that shoots the ring in the air. also the relationship between the speed of light and the permittivity and permeability of free space is pretty cool 9. we worked on something in class thursday, i think it called a test. i wanted to know if we could make be work on it some more to do better 10. Surface intergral of Bn dA = 0. It is interesting i think because it shows that magnetic field lines don't come from or go to any point in space, suggesting that there cannot be an isolated magnetic monopole. 11. I find Ampère's law modified to include Maxwell's displacement current interesting in that it relates three different physical quantities--the line integral of the magnetic field around a closed curve, the current through any surface bounded by the curve, and the rate of change of the electric flux through the surface-in one rather simple equation. 12. I think Ampere's modified law is interesting because it makes Ampere's law work more generally. Also, Gauss's law for magnetism is interesting because it says the flux of the magnetic field through any surface bound by a curve is zero. 13. The first one. Because I understand it fully. 14. I like Gauss's law of magnetism. As stated in the book, this equation alone is all you really need to show that magnetic dipoles do not exist, which I think is a very important concept. 15. The law of displacement current because it relates ucrrent to the electric field in the wire 16. They are all very enlightening, but I especially like Maxwell's adaptations of Faraday's Law and Amphere's Law, because they relate changing magnetic or electric fields to the creation of the other kind of field. 17. 18. They're all pretty cool, and have very good applications Question 3: What are the conceptual and mathematical issues from the reading that you would like to discuss in class?' 1. None 2. Although I understand the basics, examples of more specific examples about how to use these would be helpful 3. 4. everything seems pretty straight forward 5. Maxwell's generalized form of Ampere's law is a little confusing. I know why Ampere's law doesn't work, but I don't understand the derivation for the generalization. 6. Maybe the displacement current thing? 7. 8. 9. 10. I forget what it means when the integral has a circle on it and subscript c. 11. None 12. no. 13. Maxwell's equations 3 and 4. What does Maxwell's displaced current mean? 14. 15. a clarification of displacement current. 16. none 17. 18. Question 4: What concerns or issues do you still have with material from previous classes? 1. None 2. Whatever I messed up on the Unit 1 test 3. 4. 5. 6. None that I know of. 7. 8. 9. none 10. None 11. none 12. none 13. 14. How to do the last problem from the test. 15. none 16. 17. Sorry about that quiz i just sent you! 18.