A rectangular loop with a sliding connector of Iength $$10$$ cm is situated in a uniform magnetic field perpendicular to plane of loop. The magnetic induction is $$0.1$$ T and resistance of connector (R) is $$1$$ ohm. The sides AB and CD have resistances $$2$$ ohm and $$3$$ ohm respectively. Find the current in the connector during its motion with constant velocity one $$metre/$$$$sec$$.

Question

Infinity Learn · Accepted Answer

When the connector moves through a distance x, then area covered $$=$$ I xflux linked $$=$$ B l x $$=$$ ϕInduced e.m.f., $$e=d$$Φ$$dt=Bldxdt=BlvThis$$ acts as a cell of e.m.f. B I v and internal resistance fl. Effective resistance of the $$circuit=R1R2R1+R2Total$$ resistance of the $$circuit=R+R1R2R1+R2$$∴current $$i=BlvR+R1R2R1+R2=0$$⋅$$1$$×$$110$$×$$11+(2$$×$$3)(2+3)=1220A$$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material