Figure shows a wire frame `PQSTXYZ` placed in a time varying magnetic field given as `B=betat`, where `beta` is a positive constant.Resistance per unit length of the wire is `lambda`.Find the current induced in the wire and draw its electrical equivalent diagram.

Explanation

Induced `emf` in part `PQST=beta a^(2)` (in anticlockwise direction, from Lenz's Law)
Similarly Induced `emf` in part `TXYZ=beta b^(2)` (in anticlockwise direction, from Lenz's Law)
Total resistance of the part `PQST=lambda4a`
Total resistance of the part `TXYZ=lambda4b`.The equivalent circuit is as shown in th following diagram.
Writing `KVL` along the current flow
`betab^(2)-betaa^(2)-lambda4ai-lambda4bi=0`
`i=beta/(4lambda)(b-a)`