Engineering Board Exam Reviewer · Circuit Theorems in AC Analysis · medium

What is the equivalent impedance of an inductive reactance of j10, in parallel with a capacitive reactance of -j40, , in rectangular form?

  1. -j8,
  2. j8,
  3. -j13.3,
  4. j13.3,

Answer

D. j13.3,

Solution

Z=(j10)(-j40)/j10-j40=400/-j30=j13.3, . The smaller reactance (the inductor) dominates, so the combination is inductive.

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