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A rectangular loop with a sliding connec...

A rectangular loop with a sliding connector of length `l` is located in a uniform magnetic field perpendicular to the loop plane. The magnetic induction is equal to B. The connector has an electric resistance `R`, the sides `ab` and `cd` have resistances `R_1` and `R_2`. Neglecting the self-inductance of the loop, find the current flowing in the connector during its motion with a constant velocity v.

Text Solution

Verified by Experts

The correct Answer is:
A, B
Motional emf `V=Bvl`
Net resistance of the circuit `=R+(R_1R_2)/(R_1+R_2)`
` :.` Current through the connector
`i=(Bvl)/(R+(R_(1)R_(2))/(R_(1)+R_(2)))`
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