In a capacitor, if the charge is doubled while the voltage remains constant, wha

Practice Questions

Q1
In a capacitor, if the charge is doubled while the voltage remains constant, what happens to the capacitance? (2019)
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

In a capacitor, if the charge is doubled while the voltage remains constant, what happens to the capacitance? (2019)
  • Step 1: Understand the formula for capacitance, which is C = Q/V, where C is capacitance, Q is charge, and V is voltage.
  • Step 2: Identify that in this scenario, the voltage (V) remains constant.
  • Step 3: Note that the charge (Q) is doubled, meaning if the original charge was Q, the new charge is 2Q.
  • Step 4: Substitute the new charge into the capacitance formula: C = (2Q)/V.
  • Step 5: Compare the new capacitance (C = (2Q)/V) with the original capacitance (C = Q/V).
  • Step 6: Since the new capacitance is twice the original capacitance, we conclude that the capacitance doubles.
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