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15. Given the circuit below, find the following. 11 12 13 A 24 V R1 R2 R3 10 0 20 n 30 n RT I =. I3 = V =. V2 = V3 = -↑

15. Given the circuit below, find the following. 11 12 13 A 24 V R1 R2 R3 10 0 20 n 30 n RT I =. I3 = V =. V2 = V3 = -↑

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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### 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
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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