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A capacitor is charged to a potential of 12 V. If the charge on the capacitor is
A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)
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Practice Questions
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Q1
A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)
0.5 µF
1 µF
2 µF
3 µF
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Capacitance (C) = Charge (Q) / Voltage (V) = 6 µC / 12 V = 0.5 µF.
Questions & Step-by-step Solutions
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Q
Q: A capacitor is charged to a potential of 12 V. If the charge on the capacitor is 6 µC, what is its capacitance? (2022)
Solution:
Capacitance (C) = Charge (Q) / Voltage (V) = 6 µC / 12 V = 0.5 µF.
Steps: 6
Show Steps
Step 1: Understand the formula for capacitance, which is C = Q / V.
Step 2: Identify the values given in the question: Charge (Q) = 6 µC and Voltage (V) = 12 V.
Step 3: Convert the charge from microcoulombs to coulombs if necessary. 6 µC = 6 x 10^-6 C.
Step 4: Plug the values into the formula: C = (6 x 10^-6 C) / (12 V).
Step 5: Calculate the result: C = 0.5 x 10^-6 F.
Step 6: Convert the result to microfarads: 0.5 x 10^-6 F = 0.5 µF.
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