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**Unformatted text preview: **Princeton University—Physics 501 Problem Set 5 Due: Nov. 15, 2011 1) A piece of wire of mass m and electric resistance R forms a circular ring of area A = πa 2 . It is suspended by an insulated massless string of length ‘ a to form a frictionless pendulum, which swings in the presence of a uniform vertical magnetic field B . The normal to the loop is parallel to its velocity. Calculate the time required for the energy of the pendulum to fall off to 1 /e of its original value, assuming that the energy loss on each swing is small compared to the initial energy. 2) A circuit consists of a long thin conducting shell or radius b and a parallel return wire of radius a on axis inside. If the current is assumed to be uniformly distributed throughout the cross section of the wire, calculate the self inductance per unit length. 3) A transmission line consists of two parallel perfect conductors of arbitrary, but con- stant, cross section. Current flows down one conductor and returns on the other.stant, cross section....

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