Introductory Circuit Analysis (13th Edition)
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Author: Robert L. Boylestad
Publisher: PEARSON
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Help with number 15
![### Electrical Circuit Analysis
#### Problem 15: Analyzing a Parallel Resistor Circuit
Given the following circuit, find the specified values.
**Circuit Diagram Configuration:**
- A 24V DC power source is connected, labeled from point A (positive terminal) to point B (negative terminal).
- Three resistors connected in parallel:
- \( R_1 = 10 \Omega \)
- \( R_2 = 20 \Omega \)
- \( R_3 = 30 \Omega \)
- Currents flow through each resistor:
- \( I_1 \) through \( R_1 \)
- \( I_2 \) through \( R_2 \)
- \( I_3 \) through \( R_3 \)
**Required Calculations:**
1. **Total Resistance (\( R_T \))**:
\[
R_T = \text{____}
\]
2. **Total Current (\( I_T \))**:
\[
I_T = \text{____}
\]
3. **Currents through each resistor**:
\[
I_1 = \text{____}
\]
\[
I_2 = \text{____}
\]
\[
I_3 = \text{____}
\]
4. **Voltages across each resistor** (same for each in parallel):
\[
V_1 = \text{____}
\]
\[
V_2 = \text{____}
\]
\[
V_3 = \text{____}
\]
### Analyzing the Circuit
1. **Calculating Total Resistance \( R_T \)**:
The total resistance for resistors in parallel can be calculated using the formula:
\[
\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
2. **Calculating Total Current \( I_T \)**:
The total current supplied by the source is:
\[
I_T = \frac{V}{R_T}
\]
where \( V \) is the voltage of the source (24V).
3. **Calculating Individual Currents**:
The current through each resistor in](https://content.bartleby.com/qna-images/question/d4c40dae-05c2-432f-a2cb-7a807b085a75/dbd0e874-66f3-402a-bd0a-ccf890b19188/m1xt5pf_processed.jpeg)
Transcribed Image Text:### Electrical Circuit Analysis
#### Problem 15: Analyzing a Parallel Resistor Circuit
Given the following circuit, find the specified values.
**Circuit Diagram Configuration:**
- A 24V DC power source is connected, labeled from point A (positive terminal) to point B (negative terminal).
- Three resistors connected in parallel:
- \( R_1 = 10 \Omega \)
- \( R_2 = 20 \Omega \)
- \( R_3 = 30 \Omega \)
- Currents flow through each resistor:
- \( I_1 \) through \( R_1 \)
- \( I_2 \) through \( R_2 \)
- \( I_3 \) through \( R_3 \)
**Required Calculations:**
1. **Total Resistance (\( R_T \))**:
\[
R_T = \text{____}
\]
2. **Total Current (\( I_T \))**:
\[
I_T = \text{____}
\]
3. **Currents through each resistor**:
\[
I_1 = \text{____}
\]
\[
I_2 = \text{____}
\]
\[
I_3 = \text{____}
\]
4. **Voltages across each resistor** (same for each in parallel):
\[
V_1 = \text{____}
\]
\[
V_2 = \text{____}
\]
\[
V_3 = \text{____}
\]
### Analyzing the Circuit
1. **Calculating Total Resistance \( R_T \)**:
The total resistance for resistors in parallel can be calculated using the formula:
\[
\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
2. **Calculating Total Current \( I_T \)**:
The total current supplied by the source is:
\[
I_T = \frac{V}{R_T}
\]
where \( V \) is the voltage of the source (24V).
3. **Calculating Individual Currents**:
The current through each resistor in
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