The figure shows two square, current-carrying loops with side length a and center-to-center separation c. The currents

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The figure shows two square, current-carrying loops with side length a and center-to-center separation c. The currents Iand I2 circulate in the same direction.


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(a) Evaluate Neumann’s integral and show that the mutual inductance between the loops is


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(b) Show that the force of attraction between the loops is


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(b) Evaluate the force calculated in part (a) in the limit c >> a and interpret the formula which results.

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