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MHT CET 2021 (22 Sep, Shift 2) · Pure R, L and C Circuits

Pure R, L and C Circuits question from MHT CET 2021 (22 Sep, Shift 2)

Q57MHT CET 2021 · 22 SEP · SHIFT 2Medium

Pure R, L and C Circuits

A parallel plate capacitor having plates of radius 6 cm has capacitance 100 pF. It is connected to 230 V a.c. supply with angular frequency 300 rad/s. The r.m.s. value of current is

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Answer: (a)

  1. Irms=VrmsXC=Vrms ωCI_{rms} = \frac{V_{rms}}{X_C} = V_{rms}\,\omega C (plate radius is not needed).
  2. Irms=230×300×100×10−12=6.9×10−6I_{rms} = 230 \times 300 \times 100 \times 10^{-12} = 6.9 \times 10^{-6} A
  3. So the answer is (a) 6.9×10−66.9 \times 10^{-6} A.
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