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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Capacitors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Capacitors

A capacitor with a capacitance of 100 is charged to a potential...

A capacitor with a capacitance of 100μF100 \mu\text{F} is charged to a potential difference of 50 V50 \text{ V}. Determine the magnitude of the charge on each plate.

Options

  1. A5 mC5 \text{ mC}
  2. B2 mC2 \text{ mC}
  3. C50 mC50 \text{ mC}
  4. D0.5 mC0.5 \text{ mC}

Correct answer

A. 5 mC5 \text{ mC}

Step-by-step solution

The capacitance of the capacitor is given as C=100μF=100×10−6 FC = 100 \mu\text{F} = 100 \times 10^{-6} \text{ F}.

The potential difference across the capacitor is V=50 VV = 50 \text{ V}.

The magnitude of the charge on each plate of the capacitor is given by the formula:

Q=CVQ = CV

Substituting the given values:

Q=(100×10−6 F)×(50 V)Q = (100 \times 10^{-6} \text{ F}) \times (50 \text{ V})

Q=5000×10−6 CQ = 5000 \times 10^{-6} \text{ C}

Q=5×10−3 CQ = 5 \times 10^{-3} \text{ C}

Q=5 mCQ = 5 \text{ mC}
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