Current through diagonal wire in circular circuit · CAP 2015 #2

Physics · electromagnetism

Problem

Consider a circuit made of a wire with uniform resistance in a shape of a circle as shown in the picture. The circle is connected diagonally from point A to point B with the same type of wire. If the current passing through the circuit is i0i_0, what is the current passing through the wire AB as a function of angle θ? a) 0 b) θπ−θi0\frac{\theta}{\pi-\theta} i_0 c) π−2θπ+2i0\frac{\pi-2\theta}{\pi+2} i_0 d) π−2θπ+4i0\frac{\pi-2\theta}{\pi+4} i_0

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