an electric circuit is component of the three conducting rods `MO` , `ON` and `PQ` , as shown in the figure. The resistence of the rods per unit length is `lambda` . The rod `PQ` slide, as shown in the figure, at a constant velocity `v` , keeping its tilt angle relative to `ON` and `MO` fixed at `45^(@)` . At each instance the circuit is closed. The whole system is embedded in a uniform magnetic field `B` , which is directe dperpendicularly into th epage. Compute the time-dependent induced electric current

Answer

`(Bv)/(lambda(sqrt(2) + 1))(constant)`

Explanation

Equivalent circuit :

`I = (BvL)/(R )` `rarr` `I = (B(2vt)v)/(2sqrt(2)vt lambda + 2vt lambda) `rarr` I = (2Bv vt)/(2vt lambda (sqrt (2) + 1))`