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JAMB Physics 2009 Question 44

Question 44

Alternating Current Circuits

From the diagram above, if the potential difference across the resistor, capacitor and inductor are 80 V, 110 V and 40 V respectively, the effective potential difference is

Diagram for this question
  1. A.116.3 V.
  2. B.50.0 V.
  3. C.230.0 V.
  4. D.106.3 V.
Show the answer and explanation

Answer: D (106.3 V.)

Explanation

In a series a.c. circuit V = √(VR2 + (VC − VL)2) = √(802 + 702) = √11 300 ≈ 106.3 V.