If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what

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Question: If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what is the charge on the capacitor? (2022)

Options:

Correct Answer: 50μC

Exam Year: 2022

Solution:

Using the formula Q = CV, the charge Q = 5μF * 10V = 50μC.

If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what is the charge on the capacitor? (2022)

If a capacitor is charged to a voltage of 10V and has a capacitance of 5μF, what is the charge on the capacitor? (2022)

Step 1: Identify the values given in the problem. The voltage (V) is 10 volts and the capacitance (C) is 5 microfarads (μF).
Step 2: Convert the capacitance from microfarads to farads. 5 μF = 5 x 10^-6 F.
Step 3: Use the formula for charge (Q) on a capacitor, which is Q = C * V.
Step 4: Substitute the values into the formula: Q = (5 x 10^-6 F) * (10 V).
Step 5: Calculate the charge: Q = 5 x 10^-5 C.
Step 6: Convert the charge from coulombs to microcoulombs. 5 x 10^-5 C = 50 μC.

Capacitance and Charge Relationship – This concept involves understanding the relationship between charge (Q), capacitance (C), and voltage (V) in a capacitor, expressed by the formula Q = CV.