20. R1 E1 R2 R3 Given : E = 240 Vdc R1 = 100 Q R2 = 250 2 R3 = 1 k2 Find: RTotal : ITotal: VRI : VR2 : VR3: PTotal:

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Circuit Analysis Problem**

**Diagram:**
The diagram shows a simple series circuit with a DC voltage source and three resistors. The components are connected in a closed loop, allowing current to flow.

- **Components:**
  - Voltage Source \(E_1\)
  - Resistor \(R_1\)
  - Resistor \(R_2\)
  - Resistor \(R_3\)

**Given:**

- \(E_1 = 240 \, \text{Vdc}\)
- \(R_1 = 100 \, \Omega\)
- \(R_2 = 250 \, \Omega\)
- \(R_3 = 1 \, \text{k}\Omega\)

**Find:**

- \(R_{\text{Total}}\) : \_\_\_\_
- \(I_{\text{Total}}\) : \_\_\_\_
- \(V_{R_1}\) : \_\_\_\_
- \(V_{R_2}\) : \_\_\_\_
- \(V_{R_3}\) : \_\_\_\_
- \(P_{\text{Total}}\) : \_\_\_\_

**Instructions:**

1. **Calculate the Total Resistance (\(R_{\text{Total}}\)):**
   - Determine the sum of all resistors in the series.
   
2. **Calculate the Total Current (\(I_{\text{Total}}\)):**
   - Use Ohm’s Law: \(I = \frac{V}{R}\)
   
3. **Calculate the Voltage across each Resistor (\(V_{R_1}, V_{R_2}, V_{R_3}\)):**
   - Use Ohm’s Law for each resistor: \(V = I \times R\)

4. **Calculate the Total Power (\(P_{\text{Total}}\)):**
   - Use the power formula: \(P = V \times I\)

This exercise will help in understanding the application of Ohm's Law and the relationship between voltage, current, and resistance in a series circuit.
Transcribed Image Text:**Circuit Analysis Problem** **Diagram:** The diagram shows a simple series circuit with a DC voltage source and three resistors. The components are connected in a closed loop, allowing current to flow. - **Components:** - Voltage Source \(E_1\) - Resistor \(R_1\) - Resistor \(R_2\) - Resistor \(R_3\) **Given:** - \(E_1 = 240 \, \text{Vdc}\) - \(R_1 = 100 \, \Omega\) - \(R_2 = 250 \, \Omega\) - \(R_3 = 1 \, \text{k}\Omega\) **Find:** - \(R_{\text{Total}}\) : \_\_\_\_ - \(I_{\text{Total}}\) : \_\_\_\_ - \(V_{R_1}\) : \_\_\_\_ - \(V_{R_2}\) : \_\_\_\_ - \(V_{R_3}\) : \_\_\_\_ - \(P_{\text{Total}}\) : \_\_\_\_ **Instructions:** 1. **Calculate the Total Resistance (\(R_{\text{Total}}\)):** - Determine the sum of all resistors in the series. 2. **Calculate the Total Current (\(I_{\text{Total}}\)):** - Use Ohm’s Law: \(I = \frac{V}{R}\) 3. **Calculate the Voltage across each Resistor (\(V_{R_1}, V_{R_2}, V_{R_3}\)):** - Use Ohm’s Law for each resistor: \(V = I \times R\) 4. **Calculate the Total Power (\(P_{\text{Total}}\)):** - Use the power formula: \(P = V \times I\) This exercise will help in understanding the application of Ohm's Law and the relationship between voltage, current, and resistance in a series circuit.
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