A coil C of N turns is placed around a long solenoid S of radius R and

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A coil C of N turns is placed around a long solenoid S of radius R and n turns per unit length, as in Figure.

(a) Show that the mutual inductance for the coil-solenoid combination is given by M = μ0Ï€R2nN. 

(b) Explain why M does not depend on the shape, size,, or possible lack of close packing of the coil.

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Fundamentals of Physics

ISBN: 978-0471758013

8th Extended edition

Authors: Jearl Walker, Halliday Resnick

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