★★ 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.
Chapter12: Sources Of Magnetic Fields
Section: Chapter Questions
Problem 45P: A long, straight wire of radius R caries a current I that is distributed uniformly over the...
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