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COMEDK · Physics · 23. Alternating Current

In the case of an inductor

  1. A voltage lags the current by \(\pi / 2\)
  2. B voltage leads the current by \(\pi / 3\)
  3. C voltage leads the current by \(\pi / 2\)
  4. D voltage leads the current by \(\pi / 4\)
Verified Solution

Answer & Solution

Correct Answer

(C) voltage leads the current by \(\pi / 2\)

Step-by-step Solution

Detailed explanation

In an ideal inductor, the voltage \(V\) across the inductor is related to the current \(I\) by the equation \(V = L \dfrac{dI}{dt}\). Let the current be \(I = I_0 \sin(\omega t)\). Then the voltage is \(V = L \dfrac{d}{dt}(I_0 \sin(\omega t)) = L I_0 \omega \cos(\omega t)\).…
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