Engineering Board Exam Reviewer · Alternating Current and Voltage · medium

Two sinusoids of the same frequency are plotted below: a voltage v (solid) and a current i (dashed). Use the time axis (milliseconds, one cycle =12 ms) to decide how i is related to v.

  1. i lags v by 30°
  2. i leads v by 30°
  3. i leads v by 60°
  4. i lags v by 60°

Answer

B. i leads v by 30°

Solution

i reaches its positive peak earlier than v does, by t=1 ms. =360°· t/T=360°· 1 ms12 ms=30°. Since i peaks earlier than, it leads v.

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