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MCQ practice · SSC Physics Board questions · Chapter 10: Static Electricity

Cumilla Board 2024

A capacitor of capacitance 2 × 10⁻⁶ F has a potential difference of 200 V. How much charge is stored?

Think it through first, then pick an option.

  1. a 1 × 10⁻⁴ C
  2. b 4 × 10⁻⁴ C
  3. c 4 × 10⁻³ C
  4. d 1 × 10⁻² C
Answer and explanation

Correct answer: b 4 × 10⁻⁴ C

From V = Q/C, Q = CV = 2 × 10⁻⁶ × 200 = 4 × 10⁻⁴ C.

Why the other options are wrong

  • a 1 × 10⁻⁴ C: 1 × 10⁻⁴ C does not come out. Q = CV = 2 × 10⁻⁶ × 200 = 4 × 10⁻⁴ C.
  • c 4 × 10⁻³ C: The power of ten is one step too high: 2 × 10⁻⁶ × 200 = 4 × 10⁻⁴, not 4 × 10⁻³.
  • d 1 × 10⁻² C: This is far too large: a 2 × 10⁻⁶ F capacitor at 200 V holds 4 × 10⁻⁴ C.