Question

What is the time constant of RL series circuit Mcq?

Answer 1

In an RL series circuit, the time constant (\(\tau\)) is a measure of how quickly the circuit responds to changes in current. It is defined as the time it takes for the current to reach approximately 63.2% of its final value after a change in voltage.

The time constant for an RL series circuit is given by the formula:

\[ \tau = \frac{L}{R} \]

where:
- \(L\) is the inductance of the coil (in Henrys, H).
- \(R\) is the resistance (in Ohms, \(\Omega\)).

**Multiple Choice Question (MCQ) Example:**

**Question:** What is the time constant of an RL series circuit?

A) \(\frac{R}{L}\)

B) \(L \times R\)

C) \(\frac{L}{R}\)

D) \(L + R\)

**Answer:** C) \(\frac{L}{R}\)

This formula shows that the time constant increases with inductance and decreases with resistance. It helps determine how fast the current in the circuit builds up or decays when a voltage is applied or removed.

Answer 2

In an RL series circuit, the time constant (τ) is a measure of how quickly the current through the inductor (L) will change when a voltage is applied. It is defined as the time it takes for the current to reach approximately 63.2% of its final value after a step change in voltage.

For an RL series circuit, the time constant is given by:

\[ \tau = \frac{L}{R} \]

where:
- \( L \) is the inductance of the inductor (in henries, H)
- \( R \) is the resistance of the resistor (in ohms, Ω)

### Multiple Choice Question Example:

**What is the time constant of an RL series circuit?**

A) \(\frac{R}{L}\)

B) \(L \cdot R\)

C) \(\frac{L}{R}\)

D) \(L + R\)

**Correct Answer:**

C) \(\frac{L}{R}\)