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An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor C with a sliding connector are located in the same plane, as shown in the figure. The connector has length $$l$$ and resistance $$R$$. It slides to the right with a velocity $$v$$. The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation $$r$$, between the connector and the straight wire is:
$$B = \frac{\mu_0 I}{2\pi r}$$
$$\varepsilon = Blv \implies \varepsilon = \left(\frac{\mu_0 I}{2\pi r}\right)lv$$
$$i = \frac{\varepsilon}{R} \implies i = \frac{\mu_0 I v l}{2\pi R r}$$
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