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What is the potential difference across a capacitor of 10 µF charged to 5 V?

Practice Questions

Q1
What is the potential difference across a capacitor of 10 µF charged to 5 V?
  1. 0.05 J
  2. 0.1 J
  3. 0.2 J
  4. 0.15 J

Questions & Step-by-Step Solutions

What is the potential difference across a capacitor of 10 µF charged to 5 V?
  • Step 1: Identify the values given in the question. We have a capacitor with a capacitance (C) of 10 microfarads (µF) and a voltage (V) of 5 volts (V).
  • Step 2: Convert the capacitance from microfarads to farads. 10 µF is equal to 10 x 10^-6 F.
  • Step 3: Write down the formula for the energy stored in a capacitor: U = 0.5 * C * V².
  • Step 4: Substitute the values into the formula. Replace C with 10 x 10^-6 F and V with 5 V.
  • Step 5: Calculate V². 5 V squared is 25 V².
  • Step 6: Multiply the values: 0.5 * (10 x 10^-6 F) * 25 V².
  • Step 7: Calculate the result. 0.5 * 10 x 10^-6 * 25 = 0.125 J.
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