7 mA (4 900 Ω . 3 μF Χο t=0 1 ΚΩ t=0 1 mA

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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In the circuit of Fig, 04, one switch opens at t = 0, while the other switch closes simultaneously. Plot the power absorbed by the 1 kΩ resistor in the interval -1 ms ≤ t ≤ 7 ms. At t = 0, the 1 mA source source is also turned off.
The diagram presented is of an electrical circuit consisting of various components connected in series and parallel. The detailed explanation of the diagram is as follows:

### Description of the Circuit Components:
1. **Current Source**: There are two current sources in the circuit:
   - The first current source provides a current of \( 7 \, \text{mA} \) flowing into the circuit from the left.
   - The second current source provides a current of \( 1 \, \text{mA} \), with the current flowing out of the circuit to the right.
   
2. **Resistors**: There are two resistors in the circuit:
   - A \( 900 \, \Omega \) resistor connected in series with the first current source.
   - A \( 1 \, \text{k}\Omega \) resistor connected in parallel with the first resistor and the capacitor, along with the second current source.
   
3. **Capacitor**: There is a \( 3 \, \mu\text{F} \) capacitor connected in parallel with the \( 900 \, \Omega \) resistor.

4. **Switches**: There are two switches in the circuit, both of which close at \( t = 0 \).

### Understanding the Circuit:
- The circuit has a combination of series and parallel connections that impact the overall current and voltage distribution across each component.
- Initially, at \( t < 0 \), the switches are open, and the behavior of the circuit is dictated solely by the resistors and the capacitor.
- At \( t = 0 \), the switches close, which changes the circuit configuration and potentially the behavior of the circuit in terms of current and voltage.

### Analysis:
- When investigating such a circuit, one would typically analyze the current and voltage using Kirchhoff's laws, Ohm’s law, and the properties of capacitors.
- For instance, the total resistance in a parallel branch can be calculated using the parallel resistance formula.
- The capacitor’s behavior over time can be analyzed using the formula \( V(t) = V_0 e^{-\frac{t}{RC}} \) (for a discharging capacitor in an RC circuit), where \( R \) is the resistance and \( C \) is the capacitance.

This diagram helps to illustrate the principles of electric currents, resistance, and capacitance, and how the inclusion of a timing element \( (t =
Transcribed Image Text:The diagram presented is of an electrical circuit consisting of various components connected in series and parallel. The detailed explanation of the diagram is as follows: ### Description of the Circuit Components: 1. **Current Source**: There are two current sources in the circuit: - The first current source provides a current of \( 7 \, \text{mA} \) flowing into the circuit from the left. - The second current source provides a current of \( 1 \, \text{mA} \), with the current flowing out of the circuit to the right. 2. **Resistors**: There are two resistors in the circuit: - A \( 900 \, \Omega \) resistor connected in series with the first current source. - A \( 1 \, \text{k}\Omega \) resistor connected in parallel with the first resistor and the capacitor, along with the second current source. 3. **Capacitor**: There is a \( 3 \, \mu\text{F} \) capacitor connected in parallel with the \( 900 \, \Omega \) resistor. 4. **Switches**: There are two switches in the circuit, both of which close at \( t = 0 \). ### Understanding the Circuit: - The circuit has a combination of series and parallel connections that impact the overall current and voltage distribution across each component. - Initially, at \( t < 0 \), the switches are open, and the behavior of the circuit is dictated solely by the resistors and the capacitor. - At \( t = 0 \), the switches close, which changes the circuit configuration and potentially the behavior of the circuit in terms of current and voltage. ### Analysis: - When investigating such a circuit, one would typically analyze the current and voltage using Kirchhoff's laws, Ohm’s law, and the properties of capacitors. - For instance, the total resistance in a parallel branch can be calculated using the parallel resistance formula. - The capacitor’s behavior over time can be analyzed using the formula \( V(t) = V_0 e^{-\frac{t}{RC}} \) (for a discharging capacitor in an RC circuit), where \( R \) is the resistance and \( C \) is the capacitance. This diagram helps to illustrate the principles of electric currents, resistance, and capacitance, and how the inclusion of a timing element \( (t =
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