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)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9579c4d3-8c55-4a1e-91dc-50edfcb86ac6%2Fa920f049-799f-4afa-bc4f-ee1bd290f3f7%2F3u0q9ty_processed.jpeg&w=3840&q=75)
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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