A square loop of side a is placed in same plane as a long

Question

A square loop of side a is placed in same plane as a long straight wire carrying current i amp the center of the loop is at a distance r from hte wire r>> a the loop is moved away from the wire with a constant velocity v The induced emf of the loop is Please give detailed solution rates assured Ans (not i a^2 v)/ (2r^2)

ROSHAN MUJEEB · Accepted Answer

Magnetic field the straight wire of currentiiat a distancerrisB=&mu;0i2&pi;rB=&mu;0i2&pi;rflux associated with the loop isϕ=BA=&mu;0i2&pi;ra2ϕ=BA=&mu;0i2&pi;ra2&there4;e=&minus;dϕdt=&minus;&mu;02&pi;ia2ddt(1r)=&minus;&mu;02&pi;ia2(&minus;1r2)drdt&there4;e=-dϕdt=-&mu;02&pi;ia2ddt(1r)=-&mu;02&pi;ia2(-1r2)drdtHence the induced emf in the loop ise=&mu;02&pi;ia2r2v(∵dr/dt=v)