Two coils have areas A1 and A2 and carry currents I1 and I2 in clockwise and anti-clockwise directions respectively. They are on the same plane but far from each other What is the magnetic moment of this entire system?

Asked by Aditya Great | 3rd Jun, 2015, 09:48: PM

Expert Answer:

Dear adityanatu97@gmail.com

Thanks for asking us a question in Ask the Expert section of TopperLearning.com.

You have asked extremely intelligent question and we would like to understand where you are getting stuck on this question, once we are clear, we would be able to explain things better.
However, what we could understand from your query is as follows.
 
begin mathsize 12px style Magnetic space moemtn space of space the space current space loop space is space straight m with rightwards arrow on top equals straight I straight A with rightwards arrow on top The space direction space of space magnetic space moment space space is space same space as space the space directin space of space space space area space vector space straight A with rightwards arrow on top. therefore space straight m with rightwards arrow on top subscript 1 equals straight I subscript 1 πr subscript 1 superscript 2 left parenthesis negative stack straight k right parenthesis with rightwards arrow on top and space straight m with rightwards arrow on top subscript 2 equals straight I subscript 2 πr subscript 2 superscript 2 left parenthesis stack straight k right parenthesis with rightwards arrow on top The space currents space straight I subscript 1 space and space straight I subscript 2 space in space clockwise space and space anti minus clockwise space directions space respectively. Hence comma space the space net space magnetic space moment space of space straight a space system space will space be. straight m with rightwards arrow on top equals straight m with rightwards arrow on top subscript 1 plus left parenthesis negative straight m with rightwards arrow on top subscript 2 right parenthesis end style
 The distance between two coil is not mentioned.

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Answered by Priyanka Kumbhar | 4th Jun, 2015, 04:50: PM