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A capacitor is charged to a voltage V and then disconnected from the battery. Wh

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Question: A capacitor is charged to a voltage V and then disconnected from the battery. 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 quadruples

Correct Answer: Charge doubles

Solution: 

The charge on a capacitor is given by Q = C * V. If the voltage is doubled, the charge also doubles, assuming capacitance remains constant.

A capacitor is charged to a voltage V and then disconnected from the battery. Wh

Practice Questions

Q1
A capacitor is charged to a voltage V and then disconnected from the battery. 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 quadruples

Questions & Step-by-Step Solutions

A capacitor is charged to a voltage V and then disconnected from the battery. 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 calculated using the formula Q = C * V, where C is the capacitance and V is the voltage.
  • Step 3: Recognize that when the capacitor is charged to a voltage V, it has a certain amount of charge Q.
  • Step 4: If the voltage V is doubled (now it is 2V), we need to see how this affects the charge.
  • Step 5: Since the capacitance (C) of the capacitor remains constant, we can use the formula again: Q' = C * (2V).
  • Step 6: This means the new charge Q' is equal to 2 * (C * V), which shows that the charge has doubled.
  • Step 7: Conclude that if the voltage is doubled, the charge on the capacitor also doubles.
  • Capacitance and Charge Relationship – The relationship between charge (Q), capacitance (C), and voltage (V) in a capacitor, expressed by the formula Q = C * V.
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