First slide
Magnetic flux and induced emf
Question

A rectangular loop with a sliding connector of length l =1.0 m is situated in a uniform magnetic field B = 2T perpendicular to the plane of loop. Resistance of connector is r=2 Ω. Two resistance of 6 Ω and 3 Ω are connected as shown in figure. The external force required to keep the connector moving with a constant velocity v = 2 m/s is

Moderate
Solution

Motional emf

ε=Bvl ε=2×2×1=4V

This acts as a cell of emf ε = 4V and internal resistance r = 2Ω.
This simple circuit can be drawn as follows

Current through the connector i=42+2=1A

Magnetic force on connector

Fm=Bil=2×1×1=2N

(Towards left)

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