A capacitor is charged to a potential of 12 V. If the capacitance is 4 µF, what

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Question: A capacitor is charged to a potential of 12 V. If the capacitance is 4 µF, what is the charge stored in the capacitor? (2019)

Options:

Correct Answer: 48 µC

Exam Year: 2019

Solution:

Charge (Q) = Capacitance (C) × Voltage (V) = 4 µF × 12 V = 48 µC.

A capacitor is charged to a potential of 12 V. If the capacitance is 4 µF, what is the charge stored in the capacitor? (2019)

A capacitor is charged to a potential of 12 V. If the capacitance is 4 µF, what is the charge stored in the capacitor? (2019)

Step 1: Understand the formula for charge stored in a capacitor, which is Q = C × V.
Step 2: Identify the values given in the question: Capacitance (C) = 4 µF and Voltage (V) = 12 V.
Step 3: Convert the capacitance from microfarads (µF) to farads (F) if necessary. 4 µF = 4 × 10^-6 F.
Step 4: Plug the values into the formula: Q = 4 µF × 12 V.
Step 5: Calculate the charge: Q = 4 × 10^-6 F × 12 V = 48 × 10^-6 C.
Step 6: Convert the charge from coulombs (C) to microcoulombs (µC): 48 × 10^-6 C = 48 µC.

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