Consider the RL circuit shown in the figure, where R = 23.8 0. 3. The switch S is closed at t = 0. At t = 3.00 ms, the current has reached 93.3% of its final value. Calculate the inductance (in mH). mH

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### RL Circuit Analysis

Consider the RL circuit shown in the figure, where the resistance \( R = 23.8 \, \Omega \).

#### Diagram Explanation:
- The circuit includes a battery with electromotive force \( \varepsilon \).
- A switch \( S \) is used to control the current flow through the circuit.
- The inductor \( L \) is denoted by a coil symbol representing its inductive properties.

#### Problem Statement:
The switch \( S \) is closed at time \( t = 0 \). At \( t = 3.00 \, \text{ms} \), the current has reached 93.3% of its final value. Calculate the inductance (\( L \)) in millihenries (mH).

\[ \text{Inductance (L)} = \_\_\_\_\_\_ \, \text{mH} \]
Transcribed Image Text:### RL Circuit Analysis Consider the RL circuit shown in the figure, where the resistance \( R = 23.8 \, \Omega \). #### Diagram Explanation: - The circuit includes a battery with electromotive force \( \varepsilon \). - A switch \( S \) is used to control the current flow through the circuit. - The inductor \( L \) is denoted by a coil symbol representing its inductive properties. #### Problem Statement: The switch \( S \) is closed at time \( t = 0 \). At \( t = 3.00 \, \text{ms} \), the current has reached 93.3% of its final value. Calculate the inductance (\( L \)) in millihenries (mH). \[ \text{Inductance (L)} = \_\_\_\_\_\_ \, \text{mH} \]
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