Consider the circuit shown in the figure. The resistance of the wire used to make the inductor L is negligible compared to the resistors in the circuit. V=16 V, R1=14Ω, R2=145 Ω, and L=2.1 H. a) Assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find the current being delivered by the battery. b) Assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find the current going through resistor R2. c) Assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find the current through the inductor.

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Consider the circuit shown in the figure. The resistance of the wire used to make the inductor L is negligible compared to the resistors in the circuit. V=16 V, R1=14Ω, R2=145 Ω, and L=2.1 H.

a) Assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find the current being delivered by the battery.

b) Assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find the current going through resistor R2.

c) Assume that switch S has been closed for a long time so that steady currents exist in the circuit. Find the current through the inductor.

### RL Circuit Diagram

This circuit diagram illustrates a basic RL circuit containing the following components:

- **V (Voltage Source):** The circuit is powered by a voltage source labeled as V.
- **S (Switch):** A switch is included to control the flow of electrical current through the circuit.
- **R1 (Resistor 1):** This resistor is placed in series with the switch and the inductor.
- **R2 (Resistor 2):** This resistor is positioned in parallel with the inductor.
- **L (Inductor):** The inductor is connected such that it is in parallel with R2 and in series with R1 and the switch.

#### Circuit Operation

- **Series and Parallel Configuration:** The circuit is configured with R1 in series with the voltage source and switch, whereas R2 is in parallel with the inductor L.
- **Function of Switch S:** When the switch S is closed, the voltage source V provides current to the circuit, allowing current to pass through R1, R2, and the inductor L.
- **Inductive Reactance:** The inductor L causes a phase shift between voltage and current, affecting the circuit's overall impedance. This impacts the current flowing through the parallel branch containing R2 and L.

This configuration is commonly used to study the behavior of RL circuits and the effects of inductive reactance in AC and transient analysis applications.
Transcribed Image Text:### RL Circuit Diagram This circuit diagram illustrates a basic RL circuit containing the following components: - **V (Voltage Source):** The circuit is powered by a voltage source labeled as V. - **S (Switch):** A switch is included to control the flow of electrical current through the circuit. - **R1 (Resistor 1):** This resistor is placed in series with the switch and the inductor. - **R2 (Resistor 2):** This resistor is positioned in parallel with the inductor. - **L (Inductor):** The inductor is connected such that it is in parallel with R2 and in series with R1 and the switch. #### Circuit Operation - **Series and Parallel Configuration:** The circuit is configured with R1 in series with the voltage source and switch, whereas R2 is in parallel with the inductor L. - **Function of Switch S:** When the switch S is closed, the voltage source V provides current to the circuit, allowing current to pass through R1, R2, and the inductor L. - **Inductive Reactance:** The inductor L causes a phase shift between voltage and current, affecting the circuit's overall impedance. This impacts the current flowing through the parallel branch containing R2 and L. This configuration is commonly used to study the behavior of RL circuits and the effects of inductive reactance in AC and transient analysis applications.
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