AP Physics C: E&M
13.4 Inductance
An ideal inductor with self-inductance \(L\) carries a current that decreases quadratically over the time interval \(0 \le t \le T\) according to the function \(I(t) = I_0\left(1 - \dfrac{t}{T}\right)^2\), where \(I_0\) and \(T\) are positive constants. At \(t = 0\), the magnetic energy stored in the inductor is \(U_0\). Which of the following expressions represents the magnitude of the self-induced electromotive force in the inductor at the instant when the stored magnetic energy is equal to \(\dfrac{1}{4}U_0\)?
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