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Determine: the current and voltage across each load. Μ 35 V Μ 14 Ω 10 Ω 12 Ω < 18 Ω

Determine: the current and voltage across each load. Μ 35 V Μ 14 Ω 10 Ω 12 Ω < 18 Ω

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Combination circuit 

What is the current? 
What voltage across each load ? 

**Task Description:** Determine the current and voltage across each load in the given circuit. **Circuit Diagram Details:** - The circuit contains a 35 V power supply. - There are four resistors in the circuit: - A 14 Ω resistor - A 10 Ω resistor - A 12 Ω resistor - An 18 Ω resistor - The 12 Ω and 18 Ω resistors are connected in parallel. **Explanation of the Circuit:** 1. **Series Resistors:** - The 14 Ω and 10 Ω resistors are in series with the power supply and each other. 2. **Parallel Resistors:** - The 12 Ω and 18 Ω resistors form a parallel connection. **Analyzing the Circuit:** 1. **Total Resistance:** - Calculate the equivalent resistance of the 12 Ω and 18 Ω parallel resistors using the formula: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{12} + \frac{1}{18} \] - Convert the result to determine \( R_{\text{eq}} \). 2. **Combine with Series Resistors:** - Add this equivalent resistance in parallel to the series resistors (14 Ω and 10 Ω) to find the total resistance of the circuit. 3. **Current Calculation:** - Using Ohm's Law (\( V = IR \)), calculate the total current supplied by the 35 V power source. 4. **Voltage across Each Load:** - Calculate the voltage drop across each resistor using the calculated current and Ohm's Law. - Determine the current and voltage for the 12 Ω and 18 Ω resistors based on their parallel connection. **Answer Submission:** - Provide a detailed calculation of voltage and current for each resistor. - Explain the reasoning and method used.
Transcribed Image Text:**Task Description:** Determine the current and voltage across each load in the given circuit. **Circuit Diagram Details:** - The circuit contains a 35 V power supply. - There are four resistors in the circuit: - A 14 Ω resistor - A 10 Ω resistor - A 12 Ω resistor - An 18 Ω resistor - The 12 Ω and 18 Ω resistors are connected in parallel. **Explanation of the Circuit:** 1. **Series Resistors:** - The 14 Ω and 10 Ω resistors are in series with the power supply and each other. 2. **Parallel Resistors:** - The 12 Ω and 18 Ω resistors form a parallel connection. **Analyzing the Circuit:** 1. **Total Resistance:** - Calculate the equivalent resistance of the 12 Ω and 18 Ω parallel resistors using the formula: \[ \frac{1}{R_{\text{eq}}} = \frac{1}{12} + \frac{1}{18} \] - Convert the result to determine \( R_{\text{eq}} \). 2. **Combine with Series Resistors:** - Add this equivalent resistance in parallel to the series resistors (14 Ω and 10 Ω) to find the total resistance of the circuit. 3. **Current Calculation:** - Using Ohm's Law (\( V = IR \)), calculate the total current supplied by the 35 V power source. 4. **Voltage across Each Load:** - Calculate the voltage drop across each resistor using the calculated current and Ohm's Law. - Determine the current and voltage for the 12 Ω and 18 Ω resistors based on their parallel connection. **Answer Submission:** - Provide a detailed calculation of voltage and current for each resistor. - Explain the reasoning and method used.
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