What is the voltage across the capacitor in an RC circuit after one time constan

Practice Questions

Q1
What is the voltage across the capacitor in an RC circuit after one time constant?
  1. 0.63V
  2. 0.37V
  3. 1.0V
  4. 0.5V

Questions & Step-by-Step Solutions

What is the voltage across the capacitor in an RC circuit after one time constant?
  • Step 1: Understand what an RC circuit is. An RC circuit consists of a resistor (R) and a capacitor (C) connected in series with a voltage source (V).
  • Step 2: Know what a time constant (τ) is. The time constant τ is calculated as τ = R × C, where R is the resistance in ohms and C is the capacitance in farads.
  • Step 3: Recognize that when the circuit is powered, the capacitor starts charging. The voltage across the capacitor increases over time.
  • Step 4: After one time constant (τ), the voltage across the capacitor is approximately 63% of the total voltage (V) supplied by the source.
  • Step 5: To find this voltage, multiply the total voltage (V) by 0.63. This gives you the voltage across the capacitor after one time constant.
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