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The values of the resistances of the resistors are as follows: R1 = 35N %3D R2 = 26N R3 = 99N R4 = 142 What is the total resistance of the circuit if the switch is in the OPEN position?

The values of the resistances of the resistors are as follows: R1 = 35N %3D R2 = 26N R3 = 99N R4 = 142 What is the total resistance of the circuit if the switch is in the OPEN position?

College Physics
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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**Text:** "Consider the circuit shown below. S represents a switch." **Description of Circuit Diagram:** The diagram illustrates an electric circuit consisting of the following components: 1. **Resistors:** - **R1**: Positioned parallel to another resistor (R2). - **R2**: Placed parallel to R1. - **R3**: Connected in series with a switch (S). - **R4**: Arranged in series in the circuit. 2. **Switch (S):** - Located in series with resistor R3, allowing it to control the flow of current through R3. 3. **Power Source (E):** - A voltage source denoted by "E" is shown on the left side, supplying electrical energy to the circuit. **Circuit Layout:** - The circuit starts from the power source (E) and splits into two branches: one containing resistors R1 and R2 in parallel, and another leading to the switch S. - When switch S is closed, current flows through R3. - Both branches converge, sending current through R4, completing the circuit back to the power source.
Transcribed Image Text:**Text:** "Consider the circuit shown below. S represents a switch." **Description of Circuit Diagram:** The diagram illustrates an electric circuit consisting of the following components: 1. **Resistors:** - **R1**: Positioned parallel to another resistor (R2). - **R2**: Placed parallel to R1. - **R3**: Connected in series with a switch (S). - **R4**: Arranged in series in the circuit. 2. **Switch (S):** - Located in series with resistor R3, allowing it to control the flow of current through R3. 3. **Power Source (E):** - A voltage source denoted by "E" is shown on the left side, supplying electrical energy to the circuit. **Circuit Layout:** - The circuit starts from the power source (E) and splits into two branches: one containing resistors R1 and R2 in parallel, and another leading to the switch S. - When switch S is closed, current flows through R3. - Both branches converge, sending current through R4, completing the circuit back to the power source.
The values of the resistances of the resistors are as follows: - \( R_1 = 35 \, \Omega \) - \( R_2 = 26 \, \Omega \) - \( R_3 = 99 \, \Omega \) - \( R_4 = 14 \, \Omega \) What is the total resistance of the circuit if the switch is in the OPEN position?
Transcribed Image Text:The values of the resistances of the resistors are as follows: - \( R_1 = 35 \, \Omega \) - \( R_2 = 26 \, \Omega \) - \( R_3 = 99 \, \Omega \) - \( R_4 = 14 \, \Omega \) What is the total resistance of the circuit if the switch is in the OPEN position?
Expert Solution
Step 1

Resistors R1 and R2 are parallel, so the combined resistance is

R12=R1R2R1+R2=35 Ω×26 Ω35 Ω+26 Ω=14.918 Ω

This is in series with resistor R4

Reff=R12+R4=14.918 Ω+14 Ω=28.918  Ω≈29  Ω

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