**Title: Calculating Equivalent Resistance in a Circuit**The resistance between terminals \( a \) and \( b \) in the figure below is 55 \(\Omega\). If the resistors labeled \( R \) have the same value, determine \( R \).**Circuit Description:**- The circuit consists of five resistors.- Two resistors are labeled \( R \) and have unknown values.- There are three additional resistors with known values: 120 \(\Omega\), 40 \(\Omega\), and 5.0 \(\Omega\).- The resistors are arranged as follows: - One \( R \) resistor is in series between the terminals \( a \) and \( b \). - The other \( R \) resistor is in parallel with the 40 \(\Omega\) and 5.0 \(\Omega\) resistors. - The 120 \(\Omega\) resistor is in series with the parallel combination.**Objective:**Calculate the value of \( R \) such that the total resistance between terminals \( a \) and \( b \) is 55 \(\Omega\).**Diagram Explanation:**- From terminal \( a \), the current flows through an \( R \) resistor.- After \( R \), the circuit splits into two branches. - One branch contains the 120 \(\Omega\) resistor. - The other branch contains the 40 \(\Omega\) and 5.0 \(\Omega\) resistors in series, followed by another \( R \) resistor.- These branches reconverge at terminal \( b \).

Resistances in series can be calculated as Rs=R1+R2+R3 Resistances in parallel can be calculated as…

Answered: The resistance between terminals a and…

The resistance between terminals a and b in the figure below is 55 N. If the resistors labeled R have the same value, determine R. R = R 120 N E E 40 N 5.0 N b.

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

**Title: Calculating Equivalent Resistance in a Circuit**

The resistance between terminals \( a \) and \( b \) in the figure below is 55 \(\Omega\). If the resistors labeled \( R \) have the same value, determine \( R \).

**Circuit Description:**

- The circuit consists of five resistors.
- Two resistors are labeled \( R \) and have unknown values.
- There are three additional resistors with known values: 120 \(\Omega\), 40 \(\Omega\), and 5.0 \(\Omega\).
- The resistors are arranged as follows:
- One \( R \) resistor is in series between the terminals \( a \) and \( b \).
- The other \( R \) resistor is in parallel with the 40 \(\Omega\) and 5.0 \(\Omega\) resistors.
- The 120 \(\Omega\) resistor is in series with the parallel combination.

**Objective:**

Calculate the value of \( R \) such that the total resistance between terminals \( a \) and \( b \) is 55 \(\Omega\).

**Diagram Explanation:**

- From terminal \( a \), the current flows through an \( R \) resistor.
- After \( R \), the circuit splits into two branches.
- One branch contains the 120 \(\Omega\) resistor.
- The other branch contains the 40 \(\Omega\) and 5.0 \(\Omega\) resistors in series, followed by another \( R \) resistor.
- These branches reconverge at terminal \( b \).

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