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A capacitor is charged to a potential of 12 V. If the charge on the capacitor is

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Question: A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)

Options:

  1. 0.5 µF
  2. 1 µF
  3. 2 µF
  4. 3 µF

Correct Answer: 1 µF

Exam Year: 2022

Solution: 

Capacitance (C) = Charge (Q) / Voltage (V) = 6 µC / 12 V = 0.5 µF.

A capacitor is charged to a potential of 12 V. If the charge on the capacitor is

Practice Questions

Q1
A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)
  1. 0.5 µF
  2. 1 µF
  3. 2 µF
  4. 3 µF

Questions & Step-by-Step Solutions

A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)
  • Step 1: Understand the formula for capacitance, which is C = Q / V.
  • Step 2: Identify the values given in the question: Charge (Q) = 6 µC and Voltage (V) = 12 V.
  • Step 3: Convert the charge from microcoulombs to coulombs if necessary. 6 µC = 6 x 10^-6 C.
  • Step 4: Plug the values into the formula: C = (6 x 10^-6 C) / (12 V).
  • Step 5: Calculate the result: C = 0.5 x 10^-6 F.
  • Step 6: Convert the result to microfarads: 0.5 x 10^-6 F = 0.5 µF.
  • Capacitance – Capacitance is defined as the ability of a capacitor to store charge per unit voltage, calculated using the formula C = Q/V.
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