★★ A long copper wire of length L carries an electric current, I. This wire can be formed into a coil consisting of multiple loops while preserving the total length of the wire. Find the optimal number of loops in the coil to maximize the torque on the coil when it carries a cur- rent, I, in a uniform magnetic field, B. Prove that the maximum value of this torque is = (1/4)L²IB.

★★ A long copper wire of length L carries an electric current, I. This wire can be formed into a coil consisting of multiple loops while preserving the total length of the wire. Find the optimal number of loops in the coil to maximize the torque on the coil when it carries a cur- rent, I, in a uniform magnetic field, B. Prove that the maximum value of this torque is = (1/4)L²IB.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 74AP: Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and...

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