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What is the total energy stored in a 10 µF capacitor charged to 20 V?
What is the total energy stored in a 10 µF capacitor charged to 20 V?
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Practice Questions
1 question
Q1
What is the total energy stored in a 10 µF capacitor charged to 20 V?
2 J
0.02 J
0.2 J
0.5 J
Show Solution
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U = 0.5 * C * V^2 = 0.5 * (10 x 10^-6 F) * (20 V)^2 = 0.02 J.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the total energy stored in a 10 µF capacitor charged to 20 V?
Solution:
U = 0.5 * C * V^2 = 0.5 * (10 x 10^-6 F) * (20 V)^2 = 0.02 J.
Steps: 7
Show Steps
Step 1: Identify the formula for the energy stored in a capacitor, which is U = 0.5 * C * V^2.
Step 2: Identify the values given in the problem: C (capacitance) = 10 µF (microfarads) and V (voltage) = 20 V.
Step 3: Convert the capacitance from microfarads to farads: 10 µF = 10 x 10^-6 F.
Step 4: Substitute the values into the formula: U = 0.5 * (10 x 10^-6 F) * (20 V)^2.
Step 5: Calculate (20 V)^2, which is 400 V^2.
Step 6: Multiply 0.5 * (10 x 10^-6 F) * 400 V^2.
Step 7: Calculate the result: 0.5 * 10 x 10^-6 * 400 = 0.02 J.
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