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A capacitor is charged to a voltage of 10V and then connected to a resistor. Wha

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Question: A capacitor is charged to a voltage of 10V and then connected to a resistor. What will happen to the voltage across the capacitor over time?

Options:

  1. It increases
  2. It decreases exponentially
  3. It remains constant
  4. It oscillates

Correct Answer: It decreases exponentially

Solution: 

The voltage across the capacitor decreases exponentially over time when connected to a resistor due to discharge.

A capacitor is charged to a voltage of 10V and then connected to a resistor. Wha

Practice Questions

Q1
A capacitor is charged to a voltage of 10V and then connected to a resistor. What will happen to the voltage across the capacitor over time?
  1. It increases
  2. It decreases exponentially
  3. It remains constant
  4. It oscillates

Questions & Step-by-Step Solutions

A capacitor is charged to a voltage of 10V and then connected to a resistor. What will happen to the voltage across the capacitor over time?
  • Step 1: Start with a charged capacitor at 10V.
  • Step 2: Connect the charged capacitor to a resistor.
  • Step 3: Understand that the capacitor will start to discharge through the resistor.
  • Step 4: Know that as the capacitor discharges, the voltage across it will decrease.
  • Step 5: Recognize that this decrease in voltage happens quickly at first and then slows down over time.
  • Step 6: Remember that the voltage decreases in an exponential manner, meaning it drops rapidly at first and then levels off.
  • Capacitor Discharge – The process by which a charged capacitor releases its stored energy through a resistor, resulting in a decrease in voltage over time.
  • Exponential Decay – The mathematical model that describes how the voltage across the capacitor decreases exponentially as it discharges.
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