If the capacitance of a capacitor is doubled, what happens to the charge stored

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Question: If the capacitance of a capacitor is doubled, what happens to the charge stored if the voltage remains constant?

Options:

Correct Answer: Charge is doubled

Solution:

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

If the capacitance of a capacitor is doubled, what happens to the charge stored if the voltage remains constant?

If the capacitance of a capacitor is doubled, what happens to the charge stored if the voltage remains constant?

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 if the capacitance (C) is doubled, we can represent this as 2C.
Step 3: Since the voltage (V) remains constant, we can rewrite the formula with the new capacitance: 2C = Q_new / V.
Step 4: Compare the original formula C = Q / V with the new formula 2C = Q_new / V.
Step 5: Since V is the same in both cases, we can see that if C is doubled, then Q_new must also be double the original charge (Q).
Step 6: Conclude that if the capacitance is doubled while keeping the voltage constant, the charge stored (Q) also doubles.

Capacitance and Charge Relationship – Capacitance (C) is the ratio of charge (Q) stored to the voltage (V) across the capacitor, expressed as C = Q/V.