Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Capacitance And Dielectrics
Section: Chapter Questions
Problem 45AP: You are part of a team working in a machine parts mechanics shop. An important customer has asked...
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Transcribed Image Text:### Circuit Analysis Problem
**Circuit Configuration:**
- **Voltage Source:** 24V
- **Resistors:**
- \( R_1 = 5\, \Omega \)
- \( R_2 = 4\, \Omega \)
- \( R_3 = 12\, \Omega \)
- \( R_4 = 8\, \Omega \)
In the circuit diagram, resistors \( R_2 \) and \( R_3 \) are arranged in parallel, and this combination is in series with \( R_1 \) and \( R_4 \).
**Calculation Template:**
- \( R_{\text{tot}} = \)
- \( I_{\text{tot}} = \)
- \( I_1 = \)
- \( I_2 = \)
- \( I_3 = \)
- \( I_4 = \)
- \( \Delta V_1 = \)
- \( \Delta V_2 = \)
- \( \Delta V_3 = \)
- \( \Delta V_4 = \)
**Graph/Diagram Explanation:**
1. **24V Source:** The circuit is powered by a 24-volt battery.
2. **Resistor Arrangement:**
- \( R_1 \) and \( R_4 \) are in series with the parallel combination of \( R_2 \) and \( R_3 \).
- The parallel resistors modulate the total resistance and current distribution in the circuit.
3. **Calculations:**
- **Total Resistance (\( R_{\text{tot}} \)):** Calculate using series and parallel resistance formulas.
- **Total Current (\( I_{\text{tot}} \)):** Use Ohm’s law (\( I = \frac{V}{R} \)).
- **Individual Currents (\( I_1, I_2, I_3, I_4 \)):** Determine using current division and series circuit rules.
- **Voltage Drops (\( \Delta V_1, \Delta V_2, \Delta V_3, \Delta V_4 \)):** Calculate using Ohm’s law across each resistor.
This problem requires knowledge of series and parallel circuits, Ohm's Law, and basic circuit analysis techniques.
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