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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
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.

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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