The potential energy stored in a capacitor is directly proportional to which of

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Question: The potential energy stored in a capacitor is directly proportional to which of the following? (2023)

Options:

Correct Answer: Charge and Voltage

Exam Year: 2023

Solution:

The potential energy (U) stored in a capacitor is given by U = 1/2 CV^2, which shows it is directly proportional to both charge and voltage.

The potential energy stored in a capacitor is directly proportional to which of the following? (2023)

The potential energy stored in a capacitor is directly proportional to which of the following? (2023)

Step 1: Understand that a capacitor stores energy in an electric field.
Step 2: Know the formula for potential energy (U) in a capacitor: U = 1/2 CV^2.
Step 3: Identify the variables in the formula: C is capacitance and V is voltage.
Step 4: Recognize that potential energy (U) depends on the square of the voltage (V) and the capacitance (C).
Step 5: Conclude that potential energy is directly proportional to both capacitance (C) and the square of the voltage (V^2).

Capacitor Energy Storage – The potential energy stored in a capacitor is calculated using the formula U = 1/2 CV^2, indicating its dependence on capacitance (C) and voltage (V).
Direct Proportionality – Understanding that potential energy is directly proportional to the square of the voltage (V^2) and the capacitance (C) helps in identifying relationships in electrical circuits.