Questions
The magnetic flux through a stationary loop with resistance R varies during interval of time ? as . The heat generated during this time neglecting the inductance of loop will be
detailed solution
Correct option is A
Given that, Φ=at(T−t)=atT−at2∴e=dΦdt=aT−2at=a(T−2t)Let heat generated in time dt be dH ThendH=i2Rdt=e2R2×Rdt=e2dtRTotal heat generated can be obtained by integrating above expression, i,e.,∫0T dH=∫0T e2dtRH=1R∫0T e2dt=1R∫0T a2(T−2t)2dt=a2RT2t+4t33−2t2T0T=a2RT3+4T33−2T3=a2T33RTalk to our academic expert!
Similar Questions
A loop, having area 20cm2, is made of thin copper wire. If is placed in a uniform magnetic field of induction 1.5 Tesla with its plane perpendicular to the field. If area of the loop increases to 30 cm2 in 0.5 second, average emf induced in the loop is
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