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A capacitor is charged to a voltage of 15 V and then disconnected from the power

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Question: A capacitor is charged to a voltage of 15 V and then disconnected from the power supply. What happens to the charge on the capacitor if the voltage is doubled?

Options:

  1. Charge doubles
  2. Charge halves
  3. Charge remains the same
  4. Charge becomes zero

Correct Answer: Charge doubles

Solution: 

If the voltage is doubled, the charge on the capacitor also doubles, since Q = C * V.

A capacitor is charged to a voltage of 15 V and then disconnected from the power

Practice Questions

Q1
A capacitor is charged to a voltage of 15 V and then disconnected from the power supply. What happens to the charge on the capacitor if the voltage is doubled?
  1. Charge doubles
  2. Charge halves
  3. Charge remains the same
  4. Charge becomes zero

Questions & Step-by-Step Solutions

A capacitor is charged to a voltage of 15 V and then disconnected from the power supply. What happens to the charge on the capacitor if the voltage is doubled?
  • Step 1: Understand that a capacitor stores electrical charge.
  • Step 2: Know that the charge (Q) on a capacitor is related to the voltage (V) and the capacitance (C) by the formula Q = C * V.
  • Step 3: Identify that the initial voltage of the capacitor is 15 V.
  • Step 4: Recognize that if the voltage is doubled, it becomes 30 V (15 V * 2).
  • Step 5: Since the capacitance (C) remains the same, if the voltage (V) doubles, the charge (Q) must also double.
  • Step 6: Conclude that the new charge on the capacitor will be twice the original charge.
  • Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) is given by the formula Q = C * V, indicating that charge is directly proportional to voltage for a given capacitance.
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