R1 = 5A I tot =. Rgot AV1=. R2= R3= 12A AV2=- 12=. 24V AV3-. I3=. AV4=- 14=. R4=8A

Physics for Scientists and Engineers
10th Edition
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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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### 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.
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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