The resistance between terminals a and b in the figure below is 90 2. If the resistors labeled R have the same value, determine R. R= 2 a. b. R 120 • 40 Ω R 5.0 Ω
The resistance between terminals a and b in the figure below is 90 2. If the resistors labeled R have the same value, determine R. R= 2 a. b. R 120 • 40 Ω R 5.0 Ω
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 Statement:**
The resistance between terminals \( a \) and \( b \) in the figure below is 90 \(\Omega\). If the resistors labeled \( R \) have the same value, determine \( R \).
**Diagram Description:**
- There is a horizontal line connecting point \( a \) to point \( b \).
- A resistor \( R \) connects point \( a \) to one end of a parallel arrangement.
- Three resistors (120 \(\Omega\), 40 \(\Omega\), and 5 \(\Omega\)) are in parallel between two common nodes.
- Another resistor \( R \) is connected in series with the parallel arrangement and finally connects to point \( b \).
**Analysis:**
1. Combine the parallel resistors:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{120} + \frac{1}{40} + \frac{1}{5}
\]
2. Add the series resistors, considering one of them is \( R \) (find through calculations).
3. Solve for \( R \), given that the total resistance between \( a \) and \( b \) is 90 \(\Omega\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F487b78a1-67f2-4666-a5d0-694c0e635558%2Faa254587-d066-4564-b174-23be487e0968%2F37etze_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
The resistance between terminals \( a \) and \( b \) in the figure below is 90 \(\Omega\). If the resistors labeled \( R \) have the same value, determine \( R \).
**Diagram Description:**
- There is a horizontal line connecting point \( a \) to point \( b \).
- A resistor \( R \) connects point \( a \) to one end of a parallel arrangement.
- Three resistors (120 \(\Omega\), 40 \(\Omega\), and 5 \(\Omega\)) are in parallel between two common nodes.
- Another resistor \( R \) is connected in series with the parallel arrangement and finally connects to point \( b \).
**Analysis:**
1. Combine the parallel resistors:
\[
\frac{1}{R_{\text{parallel}}} = \frac{1}{120} + \frac{1}{40} + \frac{1}{5}
\]
2. Add the series resistors, considering one of them is \( R \) (find through calculations).
3. Solve for \( R \), given that the total resistance between \( a \) and \( b \) is 90 \(\Omega\).
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