A capacitor is charged to a voltage V and then connected to a resistor R. What i

Practice Questions

Q1
A capacitor is charged to a voltage V and then connected to a resistor R. What is the time constant of the circuit?
  1. RC
  2. C/R
  3. R/C
  4. 1/RC

Questions & Step-by-Step Solutions

A capacitor is charged to a voltage V and then connected to a resistor R. What is the time constant of the circuit?
  • Step 1: Understand that a capacitor stores electrical energy.
  • Step 2: Know that when a capacitor is connected to a resistor, it will discharge over time.
  • Step 3: The time it takes for the capacitor to discharge is important and is called the time constant.
  • Step 4: The time constant is represented by the Greek letter tau (τ).
  • Step 5: The formula for the time constant in an RC circuit (Resistor-Capacitor circuit) is τ = R * C.
  • Step 6: Here, R is the resistance in ohms (Ω) and C is the capacitance in farads (F).
  • Step 7: Multiply the resistance (R) by the capacitance (C) to find the time constant (τ).
  • RC Circuit Time Constant – The time constant (τ) of an RC circuit is the product of the resistance (R) and the capacitance (C), which determines how quickly the capacitor charges or discharges.
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