Mathematics · Network Theory
The current through a 100 mH inductor is given by i(t) = 10t · e-5t A, for t ≥ 0. Determine the instantaneous voltage v(t) across the inductor and the time at which its polarity changes.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1v(t) = 1.0 · e-5t · (1 - 5t) V; polarity changes at t = 0.2 s✓
- 2v(t) = e-5t · (1 + 5t) V; polarity never changes
- 3v(t) = 0.1 · e-5t · (1 - 5t) V; polarity changes at t = 0.02 s
- 4v(t) = e-5t · (5t - 1) V; polarity changes at t = 0.2 s
Correct answer
v(t) = 1.0 · e-5t · (1 - 5t) V; polarity changes at t = 0.2 s
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