Figure shows a metallic square frame of edge a in a vertical plane. A uniform magnetic field B exists in the space in a direction perpendicular to the plane of the figure. Two boys pull the opposite corners of the square to deform it into a rhombus. They start pulling the corners at t = 0 and displace the corners at a uniform speed u.
Text Solution
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Sol.
The effective length of each side is the length that is perpendicular to the velocity of the corners.
Thus, the effective length of each side is a 
.
Net effective length for four sides 
∴ Induced emf 
Current in the frame is given by
Total charge 
, which flows through the sides of the frame, is given by
Here,
Change in the flux
Resistance of the coil
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