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

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.