Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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**Transcribing Circuit Information for Educational Use**

In the image, we have an electrical circuit designed to calculate the time constant. The circuit consists of the following components:

1. **Voltage Source**: A 15 V battery is connected to the circuit.

2. **Switch**: The circuit includes a switch that can open or close the electrical pathway.

3. **Resistor (R)**: A resistor with a resistance value of 2 kΩ (kilo-ohms).

4. **Capacitor (C)**: A capacitor with a capacitance value of 4 µF (microfarads).

The task given is to compute the time constant of the circuit, expressed in milliseconds (ms). It is instructed not to enter units in the solution box, only the numerical value.

**Time Constant Formula**:  
The time constant (τ) in an RC circuit is calculated using the formula:  
\[ \tau = R \times C \]

Given values to be used in calculation:  
- R = 2 kΩ = 2000 Ω
- C = 4 µF = 4 × 10^-6 F

The time constant τ can be calculated with these values, and the result will provide insights into how quickly the capacitor charges or discharges in response to the circuit being closed or opened.
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Transcribed Image Text:**Transcribing Circuit Information for Educational Use** In the image, we have an electrical circuit designed to calculate the time constant. The circuit consists of the following components: 1. **Voltage Source**: A 15 V battery is connected to the circuit. 2. **Switch**: The circuit includes a switch that can open or close the electrical pathway. 3. **Resistor (R)**: A resistor with a resistance value of 2 kΩ (kilo-ohms). 4. **Capacitor (C)**: A capacitor with a capacitance value of 4 µF (microfarads). The task given is to compute the time constant of the circuit, expressed in milliseconds (ms). It is instructed not to enter units in the solution box, only the numerical value. **Time Constant Formula**: The time constant (τ) in an RC circuit is calculated using the formula: \[ \tau = R \times C \] Given values to be used in calculation: - R = 2 kΩ = 2000 Ω - C = 4 µF = 4 × 10^-6 F The time constant τ can be calculated with these values, and the result will provide insights into how quickly the capacitor charges or discharges in response to the circuit being closed or opened.
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