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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![**Physics Circuit Analysis Exercise**
**Question:**
14. Given the circuit below, find the following values:
- \( R_T = \)
- \( V_1 = \)
- \( V_2 = \)
- \( V_3 = \)
- \( I_T = \)
- \( I_1 = \)
- \( I_2 = \)
- \( I_3 = \)
**Circuit Diagram:**
The circuit diagram includes three resistors connected in a parallel configuration, each with known resistance values:
- \( R_1 = 11 \, \Omega \)
- \( R_2 = 7 \, \Omega \)
- \( R_3 = 20 \, \Omega \)
The voltage source provides a total voltage (\( \Delta V_{\text{tot}} \)) of 12 V.
**Instructions for Calculation:**
1. **Total Resistance (\( R_T \))**: Calculate the equivalent resistance for the parallel resistors.
\[
\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
2. **Total Current (\( I_T \))**: Use Ohm's Law to find the total current supplied by the voltage source.
\[
I_T = \frac{\Delta V_{\text{tot}}}{R_T}
\]
3. **Voltage Across Each Resistor (\( V_1, V_2, V_3 \))**: In a parallel circuit, the voltage across each resistor is equal to the total voltage provided by the source.
\[
V_1 = V_2 = V_3 = V_{\text{tot}}
\]
4. **Current Through Each Resistor (\( I_1, I_2, I_3 \))**: Use Ohm's Law to calculate the current through each resistor.
\[
I_1 = \frac{V_{\text{tot}}}{R_1}, \quad I_2 = \frac{V_{\text{tot}}}{R_2}, \quad I_3 = \frac{V_{\text{tot}}}{R_3}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde5de160-b520-4d7b-aa3c-af4fe081f2c4%2F712987e5-8316-44b2-9dc4-daa8d272d2bf%2Fyqulxyi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Physics Circuit Analysis Exercise**
**Question:**
14. Given the circuit below, find the following values:
- \( R_T = \)
- \( V_1 = \)
- \( V_2 = \)
- \( V_3 = \)
- \( I_T = \)
- \( I_1 = \)
- \( I_2 = \)
- \( I_3 = \)
**Circuit Diagram:**
The circuit diagram includes three resistors connected in a parallel configuration, each with known resistance values:
- \( R_1 = 11 \, \Omega \)
- \( R_2 = 7 \, \Omega \)
- \( R_3 = 20 \, \Omega \)
The voltage source provides a total voltage (\( \Delta V_{\text{tot}} \)) of 12 V.
**Instructions for Calculation:**
1. **Total Resistance (\( R_T \))**: Calculate the equivalent resistance for the parallel resistors.
\[
\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
2. **Total Current (\( I_T \))**: Use Ohm's Law to find the total current supplied by the voltage source.
\[
I_T = \frac{\Delta V_{\text{tot}}}{R_T}
\]
3. **Voltage Across Each Resistor (\( V_1, V_2, V_3 \))**: In a parallel circuit, the voltage across each resistor is equal to the total voltage provided by the source.
\[
V_1 = V_2 = V_3 = V_{\text{tot}}
\]
4. **Current Through Each Resistor (\( I_1, I_2, I_3 \))**: Use Ohm's Law to calculate the current through each resistor.
\[
I_1 = \frac{V_{\text{tot}}}{R_1}, \quad I_2 = \frac{V_{\text{tot}}}{R_2}, \quad I_3 = \frac{V_{\text{tot}}}{R_3}
\]
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