In an RL circuit, what is the time constant τ defined as?

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Question: In an RL circuit, what is the time constant τ defined as?

Options:

Correct Answer: L/R

Solution:

The time constant τ in an RL circuit is defined as τ = L/R, where L is the inductance and R is the resistance.

In an RL circuit, what is the time constant τ defined as?

In an RL circuit, what is the time constant τ defined as?

Step 1: Understand that an RL circuit consists of a resistor (R) and an inductor (L) connected together.
Step 2: Know that the time constant (τ) is a measure of how quickly the current in the circuit changes.
Step 3: Learn the formula for the time constant in an RL circuit, which is τ = L/R.
Step 4: Identify that 'L' represents the inductance of the inductor, measured in henries (H).
Step 5: Recognize that 'R' represents the resistance of the resistor, measured in ohms (Ω).
Step 6: Conclude that the time constant τ tells you how long it takes for the current to reach about 63.2% of its maximum value after a change in voltage.

Time Constant in RL Circuits – The time constant τ represents the time it takes for the current to reach approximately 63.2% of its final value in an RL circuit, defined as τ = L/R.