If the inductance in the LR circuit below is increased by a factor of three and the current is closed, how will the final current in the circuit change?   Increase by a factor of 3.   It will increase by a factor of e3   It will not change.   Decrease by a factor of 3.   It will decrease by a factor ofe3

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Chapter1: Units, Trigonometry. And Vectors
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If the inductance in the LR circuit below is increased by a factor of three and the current is closed, how will the final current in the circuit change?

 

Increase by a factor of 3.

 

It will increase by a factor of e3

 

It will not change.

 

Decrease by a factor of 3.

 

It will decrease by a factor ofe3

 

None of the other responses are correct.

The image depicts an electrical circuit diagram featuring an RL (Resistor-Inductor) series circuit with a voltage source and a switch.

1. **Components:**
   - **Voltage Source (ε):** Represented by a symbol with a positive (+) and negative (−) terminal, denoting the electromotive force (emf) driving the current through the circuit.
   - **Resistor (R):** Shown as a rectangle with a zigzag line, it opposes the flow of current, causing a voltage drop.
   - **Inductor (L):** Depicted as a coil, it stores energy in a magnetic field when current passes through it. Inductors oppose changes in current.
   - **Switch:** Illustrated as a break in the circuit that can be opened or closed to start or stop the flow of current.

2. **Circuit Layout:**
   - The circuit is arranged such that the components are connected in series.
   - The battery provides a potential difference, setting up a current that flows sequentially through the resistor and the inductor.
   - The switch can be toggled to open or close the circuit, controlling the current flow.

This diagram is used in educational contexts to illustrate the behavior of RL circuits, particularly how inductors react to changes in current, and to analyze transient responses when the switch is closed or opened.
Transcribed Image Text:The image depicts an electrical circuit diagram featuring an RL (Resistor-Inductor) series circuit with a voltage source and a switch. 1. **Components:** - **Voltage Source (ε):** Represented by a symbol with a positive (+) and negative (−) terminal, denoting the electromotive force (emf) driving the current through the circuit. - **Resistor (R):** Shown as a rectangle with a zigzag line, it opposes the flow of current, causing a voltage drop. - **Inductor (L):** Depicted as a coil, it stores energy in a magnetic field when current passes through it. Inductors oppose changes in current. - **Switch:** Illustrated as a break in the circuit that can be opened or closed to start or stop the flow of current. 2. **Circuit Layout:** - The circuit is arranged such that the components are connected in series. - The battery provides a potential difference, setting up a current that flows sequentially through the resistor and the inductor. - The switch can be toggled to open or close the circuit, controlling the current flow. This diagram is used in educational contexts to illustrate the behavior of RL circuits, particularly how inductors react to changes in current, and to analyze transient responses when the switch is closed or opened.
Expert Solution
Step 1

Inductor offerers infinite resistance at t=0. ( Just after the switch is closed )

Resistance due to inductor after long time is zero.

 

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