What are the largest and smallest resistances (in 0) you can obtain by connecting a 30.0 0, a 54.0 0, and a 710 0 resistor together? largest smallest
What are the largest and smallest resistances (in 0) you can obtain by connecting a 30.0 0, a 54.0 0, and a 710 0 resistor together? largest smallest
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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![**Problem:**
What are the largest and smallest resistances (in Ω) you can obtain by connecting a 30.0 Ω, a 54.0 Ω, and a 710 Ω resistor together?
**Inputs:**
- **Largest Resistance:**
____ Ω
- **Smallest Resistance:**
____ Ω
**Explanation:**
To solve this problem, you need to consider two types of resistor configurations:
1. **Series Configuration:** All resistors are connected end-to-end. The total resistance \( R_{\text{total}} \) is the sum of all resistances:
\[
R_{\text{total}} = R_1 + R_2 + R_3 = 30.0 \, \Omega + 54.0 \, \Omega + 710 \, \Omega
\]
2. **Parallel Configuration:** All resistors are connected to the same two points. The formula for total resistance \( R_{\text{total}} \) in parallel is:
\[
\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
Solutions can be found by inputting values to complete the calculation.
By calculating these two configurations, one can find the largest resistance (series) and the smallest resistance (parallel).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcaf0374-1550-4ffb-84ad-720668c0d5ec%2F1a1f781c-f37e-42ae-bbfe-2233f05a13d6%2Foeub3iq_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem:**
What are the largest and smallest resistances (in Ω) you can obtain by connecting a 30.0 Ω, a 54.0 Ω, and a 710 Ω resistor together?
**Inputs:**
- **Largest Resistance:**
____ Ω
- **Smallest Resistance:**
____ Ω
**Explanation:**
To solve this problem, you need to consider two types of resistor configurations:
1. **Series Configuration:** All resistors are connected end-to-end. The total resistance \( R_{\text{total}} \) is the sum of all resistances:
\[
R_{\text{total}} = R_1 + R_2 + R_3 = 30.0 \, \Omega + 54.0 \, \Omega + 710 \, \Omega
\]
2. **Parallel Configuration:** All resistors are connected to the same two points. The formula for total resistance \( R_{\text{total}} \) in parallel is:
\[
\frac{1}{R_{\text{total}}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
\]
Solutions can be found by inputting values to complete the calculation.
By calculating these two configurations, one can find the largest resistance (series) and the smallest resistance (parallel).
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