Question
The current generator $I_g$ shown in figure, sends a constant current i through the circuit. The wire cd is fixed and ab is made to slide on the smooth, thick rails with a constant velocity $v$ towards right. Each of these wires has resistance r. Find the current through the wire cd.

Answer



Initial current passing $= i$
Hence initial emf $= ir$
Emf due to motion of ab $= Blv$
Net emf $= ir - Blv$
Net resistance $= 2r$
Hence current passing $=\frac{\text{ir}-\text{Blv}}{2\text{r}}$

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