A capacitor is charged to a potential difference of 10V. If the charge on the ca

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Question: A capacitor is charged to a potential difference of 10V. If the charge on the capacitor is 5μC, what is its capacitance? (2020)

Options:

Correct Answer: 0.5μF

Exam Year: 2020

Solution:

Capacitance (C) is given by C = Q/V. Here, C = 5μC / 10V = 0.5μF.

A capacitor is charged to a potential difference of 10V. If the charge on the capacitor is 5μC, what is its capacitance? (2020)

A capacitor is charged to a potential difference of 10V. If the charge on the capacitor is 5μC, what is its capacitance? (2020)

Step 1: Understand the formula for capacitance, which is C = Q/V, where C is capacitance, Q is charge, and V is voltage.
Step 2: Identify the values given in the question: the charge (Q) is 5μC (microcoulombs) and the voltage (V) is 10V (volts).
Step 3: Convert the charge from microcoulombs to coulombs if necessary. 5μC is equal to 5 x 10^-6 C.
Step 4: Substitute the values into the formula: C = (5 x 10^-6 C) / (10 V).
Step 5: Perform the division: C = 5 x 10^-6 / 10 = 0.5 x 10^-6 C/V.
Step 6: Convert the result back to microfarads: 0.5 x 10^-6 F is equal to 0.5μF.

Capacitance – Capacitance is the ability of a capacitor to store charge per unit voltage, calculated using the formula C = Q/V.