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(Solved): Circular Metal Ring A circular metal ring, as shown on the diagram below, is constructed so as to ex ...
Circular Metal Ring
A circular metal ring, as shown on the diagram below, is constructed so as to expand or contract freely. In a
region with a constant magnetic field B_(O) oriented perpendicular to it, the ring expands, with its radius growing
with time as r=r_(0)(1+\alpha t^(2)). As the ring expands and grows thinner, its resistance per unit length changes
according to R=R_(0)(1+\beta t^(2)).
Indicates expansion
Find the current induced in the ring as a function of time. To check your answer, suppose that B_(0)=7.35mT,r_(0)=
13.5cm,R_(0)=7.25(\Omega )/(m),\alpha =0.205\times 10^(-4)s^(-2), and \beta =0.465\times 10^(-2)s^(-2).
5 What is the value of the induced current at t=40s ? (Note: Give the direction of the current where when
viewed from above a positive current will move counterclockwise.) Please times your final answer by 10^(7), in
units of A.