Asked in MDCAT Test Series — Electrostatics, Work and EnergyModerate

Two capacitors C1 = 2µ and C2 = 4µ F are connected in series across in a 100V supply. Find the effective capacitance.

Correct answer: D. 4/3 µF

  • A. ½ µF
  • B. 3/2 µF
  • C. 5/2 µF
  • D. 4/3 µF
  • E. 2 µF

Explanation

Recall that the effective capacitance of capacitors in series is the reciprocal of the sum of reciprocals of individual capacitors (just like resistors in parallel)Therefore,1/Ceffective = 1/C1 + 1/C21/Ceffective = ½ +¼ 1/Ceffective = ¾C effective= 4/3 µF Hence option D is the correct answer.

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About Capacitors

Capacitors store electric charge and energy in an electric field between conductors. Work includes capacitance, the relation Q = CV, dielectric materials, charging and discharging, energy formulas, and combinations of capacitors in series and parallel. Electric potential difference is needed to understand why charge and stored energy change.

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