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JEE Main 2013 (22 Apr, Shift 1) · Capacitors in DC Circuits & RC

Capacitors in DC Circuits & RC question from JEE Main 2013 (22 Apr, Shift 1)

Q41JEE Main 2013 · 22 APR · SHIFT 1Easy

Capacitors in DC Circuits & RC

To establish an instantaneous current of 2 A through a 1μ\muF capacitor; the potential difference across the capacitor plates should be changed at the rate of:

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Answer: (c)

  1. I=CdVdt⇒dVdt=ICI = C\dfrac{dV}{dt} \Rightarrow \dfrac{dV}{dt} = \dfrac{I}{C}
  2. dVdt=21×10−6=2×106 V/s\dfrac{dV}{dt} = \dfrac{2}{1\times10^{-6}} = 2\times10^{6}\text{ V/s}
  3. So the answer is (c) 2×1062\times10^{6} V/s.
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