Q. A rectangular loop 10 cm and 3 cm moving out of a region of uniform magnetic field of 0.5 T directed normal to the loop. If we want to move loop with a constant velocity 1 cm/sec, then what is the required mechanical force? (Resistance of loop = 1 m ohm)  


(1) 2.25 x 10 - 3
(2) 4.5 x 10 - 3 N
(3) 9 x 10 - 3
(4) 1.25 x 10 - 3

Dear student,



let us consider coil PQRS as shown above.Area of coil=lx=Sflux =Blx=ϕdϕdt=d(Blx)dt=Blvenduced emf, e=-dϕdt=Blv(as x is decreasing)current in the loop is given by,I=εR=BlvRForec required is given by,F=BILF=B2l2vR=0.5×0.5×0.03×0.03×11×10-3=2.25×10-3NHence the correct option is (1)Regards

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