Question

Consider the situation shown in the figure. The wire AB is sliding on the fixed rails with a constant velocity v. If the wire AB replaced by semi circular wire the magnitude of the induced current will.

(a) Increases

(b) decreased

(c) Remain same

(d) depending on whether the semicircle bulge is towards the resistance or away from it.

Answer 1

The correct option (c) Remain same

Explanation:

Rate of change of area with remain same even if wire is replaced by semicircular wire,

∴ induced current will be same as earlier one as I = (e/R) & e i.e. induced emf is function of area because

e = – N (dɸ/dt) = – N (d/dt) (ABcoswt).