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Post-UTME Physics 2016 Objective — Question 14

Question 14 of 20 from the Post-UTME Screening (Post-UTME) Physics 2016 Objective paper, with the correct answer and a full explanation.

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Use the diagram above (an AC circuit with 120V, 60/pi Hz supply, a resistor R and capacitor C = 30uF) to answer this question. In the circuit above, calculate the reactance of the capacitor.

  • A. 36.14 ohm
  • B. 88.42 ohm
  • C. 277.78 ohmCorrect
  • D. 360.05 ohm

Explanation

Xc = 1/(2.pi.f.C) = 1/(2 x 60 x 30x10^-6) = 277.78 ohm (using f=60/pi so that 2.pi.f=120).

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