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In an RC circuit, what is the time constant (τ) defined as?

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Question: In an RC circuit, what is the time constant (τ) defined as?

Options:

  1. τ = R*C
  2. τ = R+C
  3. τ = R/C
  4. τ = C/R

Correct Answer: τ = R*C

Solution:

The time constant τ in an RC circuit is defined as τ = R*C, where R is the resistance and C is the capacitance.

In an RC circuit, what is the time constant (τ) defined as?

Practice Questions

Q1
In an RC circuit, what is the time constant (τ) defined as?
  1. τ = R*C
  2. τ = R+C
  3. τ = R/C
  4. τ = C/R

Questions & Step-by-Step Solutions

In an RC circuit, what is the time constant (τ) defined as?
  • Step 1: Understand what an RC circuit is. An RC circuit is a circuit that contains a resistor (R) and a capacitor (C).
  • Step 2: Know what resistance (R) is. Resistance is a measure of how much a component resists the flow of electric current.
  • Step 3: Know what capacitance (C) is. Capacitance is a measure of how much electric charge a capacitor can store.
  • Step 4: Learn about the time constant (τ). The time constant is a value that helps us understand how quickly the capacitor charges or discharges in the circuit.
  • Step 5: Remember the formula for the time constant. The time constant τ is calculated using the formula τ = R * C.
  • Step 6: Identify the units. Resistance (R) is measured in ohms (Ω) and capacitance (C) is measured in farads (F).
  • Step 7: Understand the significance of τ. A larger τ means the capacitor takes longer to charge or discharge, while a smaller τ means it charges or discharges faster.
  • Time Constant in RC Circuits – The time constant τ represents the time it takes for the voltage across the capacitor to charge to approximately 63.2% of its maximum value or discharge to about 36.8% of its initial value.
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