The magnetic flux through a conducting loop of resistance R varies during time interval T as φ=at(T-t). Neglecting loop inductance, the heat generated is:
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Question

The magnetic flux through a conducting loop of resistance R varies during time interval T as φ=at(T−t). Neglecting loop inductance, the heat generated is:

G1 Physics · Accepted Answer

ε=−dφ/dt=−a(T−2t). Therefore i=ε/R and H=∫₀ᵀi²Rdt=(a²/R)∫₀ᵀ(T−2t)²dt=a²T³/(3R). Hence option A.