The figure shows an R-L circuit with a switch, a 166.7- resistor, an inductor and a 13.1-V battery. When the switch is closed the current initially increases at 135.1 A/s. What is circuit's inductance (in mH)?

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The figure shows an R-L circuit with a switch, a 166.7-Ω resistor, an inductor, and a 13.1-V battery. When the switch is closed the current initially increases at 135.1 A/s. What is the circuit's inductance (in mH)?

**Diagram Description:**

The diagram illustrates the components and connections within the R-L circuit:

- **Switch**: Located on the left side of the circuit, it controls the flow of current. Currently shown in an open position.
  
- **Resistor (R)**: Labeled \( R \), it has a resistance of 166.7 ohms and is depicted with a zigzag line.
  
- **Inductor (L)**: Labeled \( L \), it is depicted with a series of loops representing the coil.
  
- **Battery**: Shown with a positive (+) and negative (-) terminal, providing a voltage of 13.1 V.

The components are arranged in a series connection, and the circuit will be completed when the switch is closed, allowing current to flow from the battery through the resistor and inductor. The question asks for the inductance, highlighted as a key unknown variable in the given setup.
Transcribed Image Text:The figure shows an R-L circuit with a switch, a 166.7-Ω resistor, an inductor, and a 13.1-V battery. When the switch is closed the current initially increases at 135.1 A/s. What is the circuit's inductance (in mH)? **Diagram Description:** The diagram illustrates the components and connections within the R-L circuit: - **Switch**: Located on the left side of the circuit, it controls the flow of current. Currently shown in an open position. - **Resistor (R)**: Labeled \( R \), it has a resistance of 166.7 ohms and is depicted with a zigzag line. - **Inductor (L)**: Labeled \( L \), it is depicted with a series of loops representing the coil. - **Battery**: Shown with a positive (+) and negative (-) terminal, providing a voltage of 13.1 V. The components are arranged in a series connection, and the circuit will be completed when the switch is closed, allowing current to flow from the battery through the resistor and inductor. The question asks for the inductance, highlighted as a key unknown variable in the given setup.
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