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Magnetic flux linked with a stationary loop of resistance \( \mathrm{R} \) varies with respect to time during the
\( \mathrm{P} \) time period \( \mathrm{T} \) as \( \phi= \) at \( (\mathrm{T}-t) \). Find amount of heat
\( \mathrm{W} \) generated in loop during that time:
(1) \( \frac{a^{2} T^{3}}{3 \mathrm{R}} \)
(2) \( \frac{\mathrm{a}^{2} \mathrm{~T}^{2}}{\mathrm{R}} \)
(3) \( \frac{a T^{3}}{4 \mathrm{R}^{2}} \)
(4) \( \frac{\mathrm{a}^{2} \mathrm{~T}}{\mathrm{R}^{2}} \)
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