College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Determine the voltage drop (in volts) across the 3 Ω resistor in the circuit below.
![### Figure P18.22: Electrical Circuit Diagram
**Description:**
This diagram illustrates a simple electrical circuit containing a voltage source and three resistors.
**Components:**
1. **Voltage Source:**
- The circuit includes a 12V battery, positioned on the left side of the circuit.
2. **Resistors:**
- **Resistor 1 (R1):** 6.0Ω
- **Resistor 2 (R2):** 9.0Ω
- **Resistor 3 (R3):** 3.0Ω
- Resistors R1 and R2 are arranged in parallel at the top of the circuit.
- Resistor R3 is in series with the parallel combination of R1 and R2.
**Configuration:**
- The circuit starts at the negative terminal of the 12V battery and flows through resistor R3.
- From R3, the current splits to flow through either R1 or R2, which are arranged in a parallel configuration.
- The current then recombines before returning to the positive terminal of the battery.
**Analysis:**
- **Series and Parallel Configuration:**
- The total resistance of the circuit can be calculated by first finding the equivalent resistance of the parallel resistors (R1 and R2) and then adding the resistance of R3.
- **Calculating Equivalent Resistance for Parallel Resistors:**
- \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R1} + \frac{1}{R2} = \frac{1}{6.0} + \frac{1}{9.0} \]
- **Total Circuit Resistance (R_total):**
- \[ R_{\text{total}} = R_{\text{eq}} + R3 \]
This setup is ideal for analyzing the behavior of resistors in series and parallel, understanding voltage drops, and calculating total current using Ohm's Law.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0b976287-7988-4bb5-8c19-f0be53c69b5f%2F7dea27cf-5f50-4260-ab73-d93fa129ed78%2Fh7hi6ms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Figure P18.22: Electrical Circuit Diagram
**Description:**
This diagram illustrates a simple electrical circuit containing a voltage source and three resistors.
**Components:**
1. **Voltage Source:**
- The circuit includes a 12V battery, positioned on the left side of the circuit.
2. **Resistors:**
- **Resistor 1 (R1):** 6.0Ω
- **Resistor 2 (R2):** 9.0Ω
- **Resistor 3 (R3):** 3.0Ω
- Resistors R1 and R2 are arranged in parallel at the top of the circuit.
- Resistor R3 is in series with the parallel combination of R1 and R2.
**Configuration:**
- The circuit starts at the negative terminal of the 12V battery and flows through resistor R3.
- From R3, the current splits to flow through either R1 or R2, which are arranged in a parallel configuration.
- The current then recombines before returning to the positive terminal of the battery.
**Analysis:**
- **Series and Parallel Configuration:**
- The total resistance of the circuit can be calculated by first finding the equivalent resistance of the parallel resistors (R1 and R2) and then adding the resistance of R3.
- **Calculating Equivalent Resistance for Parallel Resistors:**
- \[ \frac{1}{R_{\text{eq}}} = \frac{1}{R1} + \frac{1}{R2} = \frac{1}{6.0} + \frac{1}{9.0} \]
- **Total Circuit Resistance (R_total):**
- \[ R_{\text{total}} = R_{\text{eq}} + R3 \]
This setup is ideal for analyzing the behavior of resistors in series and parallel, understanding voltage drops, and calculating total current using Ohm's Law.
Expert Solution
Step 1
From the circuit, resistor and resistor connected in parallel.
so that, equivalent resistance is as follows;
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