If the capacitance of a capacitor is doubled while the voltage remains constant,

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

Options:

Correct Answer: It doubles

Solution:

Charge (Q) stored in a capacitor is given by Q = C * V. If C is doubled and V remains constant, Q also doubles.

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

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

Step 1: Understand the formula for charge stored in a capacitor, which is Q = C * V.
Step 2: Identify the variables in the formula: Q is the charge, C is the capacitance, and V is the voltage.
Step 3: Note that in this scenario, the voltage (V) remains constant.
Step 4: Recognize that if the capacitance (C) is doubled, we can represent this as C' = 2C, where C' is the new capacitance.
Step 5: Substitute the new capacitance into the formula: Q' = C' * V = (2C) * V.
Step 6: Simplify the equation: Q' = 2 * (C * V) = 2Q.
Step 7: Conclude that if the capacitance is doubled while the voltage remains constant, the charge stored (Q) 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.