If the charge on a capacitor is doubled while keeping the voltage constant, what

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Question: If the charge on a capacitor is doubled while keeping the voltage constant, what happens to the capacitance? (2022)

Options:

Correct Answer: It doubles

Exam Year: 2022

Solution:

Capacitance C = Q/V. If Q is doubled and V remains constant, C must also double.

If the charge on a capacitor is doubled while keeping the voltage constant, what happens to the capacitance? (2022)

If the charge on a capacitor is doubled while keeping the voltage constant, what happens to the capacitance? (2022)

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 charge (Q) is being doubled.
Step 3: Note that the voltage (V) remains constant and does not change.
Step 4: Since capacitance (C) is directly proportional to charge (Q) when voltage (V) is constant, if Q is doubled, C must also double.
Step 5: Conclude that if the charge on the capacitor is doubled while keeping the voltage constant, the capacitance also doubles.

Capacitance Relationship – The relationship between charge (Q), voltage (V), and capacitance (C) is defined by the formula C = Q/V.