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)...
Related questions
Question
![### Resistor Network Problem
**Problem Statement:**
A 2.2 kΩ and a 4.0 kΩ resistor are connected in parallel; this combination is then connected in series with a 1.3 kΩ resistor.
**Question:**
If each resistor is rated at 0.25 W (maximum without overheating), what is the maximum voltage that can be applied across the whole network?
**Instructions:**
Express your answer using two significant figures.
**Answer Field:**
\[ V_{\text{max}} = \] V
**Solution Approach:**
1. **Calculate the equivalent resistance of the parallel resistors:**
- \( R_{\text{parallel}} = \left(\frac{1}{2.2} + \frac{1}{4.0}\right)^{-1} \) kΩ
2. **Determine the total resistance \( R_{\text{total}} \):**
- \( R_{\text{total}} = R_{\text{parallel}} + 1.3 \) kΩ
3. **Power Rating Consideration:**
- Use the power formula \( P = V^2/R \) to find the maximum voltage for the given power rating.
4. **Calculate maximum allowable voltage across the network:**
- Find the maximum voltage across each resistor, keeping in mind the power limitation, and then calculate the total permissible voltage across the network.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2192a9f0-1ae9-4ed3-a35b-fc11f1172fc0%2Fa7883734-5823-43dd-94f8-255eb7b74034%2Fxl1nlee_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Resistor Network Problem
**Problem Statement:**
A 2.2 kΩ and a 4.0 kΩ resistor are connected in parallel; this combination is then connected in series with a 1.3 kΩ resistor.
**Question:**
If each resistor is rated at 0.25 W (maximum without overheating), what is the maximum voltage that can be applied across the whole network?
**Instructions:**
Express your answer using two significant figures.
**Answer Field:**
\[ V_{\text{max}} = \] V
**Solution Approach:**
1. **Calculate the equivalent resistance of the parallel resistors:**
- \( R_{\text{parallel}} = \left(\frac{1}{2.2} + \frac{1}{4.0}\right)^{-1} \) kΩ
2. **Determine the total resistance \( R_{\text{total}} \):**
- \( R_{\text{total}} = R_{\text{parallel}} + 1.3 \) kΩ
3. **Power Rating Consideration:**
- Use the power formula \( P = V^2/R \) to find the maximum voltage for the given power rating.
4. **Calculate maximum allowable voltage across the network:**
- Find the maximum voltage across each resistor, keeping in mind the power limitation, and then calculate the total permissible voltage across the network.
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