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Mei Lin, an electrical engineering professor sets up the circuit shown in the figure. The reading of the voltmeter is 5.50 V and the reading of the ammeter is 4.20 mA. Assuming the voltmeter and ammeter are both ideal, calculate the following. (a)the value of R (in kΩ)   (b)the emf (in V) of the battery   (c)the voltage (in V) across the 3.00 kΩ resistor

Mei Lin, an electrical engineering professor sets up the circuit shown in the figure. The reading of the voltmeter is 5.50 V and the reading of the ammeter is 4.20 mA. Assuming the voltmeter and ammeter are both ideal, calculate the following. (a)the value of R (in kΩ)   (b)the emf (in V) of the battery   (c)the voltage (in V) across the 3.00 kΩ resistor

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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Mei Lin, an electrical engineering professor sets up the circuit shown in the figure. The reading of the voltmeter is 5.50 V and the reading of the ammeter is 4.20 mA. Assuming the voltmeter and ammeter are both ideal, calculate the following.

(a)the value of R (in kΩ)
 
(b)the emf (in V) of the battery
 
(c)the voltage (in V) across the 3.00 kΩ resistor
The diagram illustrates a simple electrical circuit consisting of the following components: 1. **Voltage Source (\( \mathcal{E} \)):** - Positioned at the bottom of the circuit. - The voltage source has polarities marked as negative (-) and positive (+). 2. **Resistors:** - There are two resistors in this circuit. - The first resistor is labeled \( R \) and is located on the branch with the voltmeter. - The second resistor has a resistance of \( 3.00 \, \text{k}\Omega \) and is positioned in series with the ammeter. 3. **Voltmeter (V):** - It is connected in parallel with the resistor \( R \). - Measures the potential difference across the resistor \( R \). 4. **Ammeter (A):** - It is connected in series with the \( 3.00 \, \text{k}\Omega \) resistor. - Measures the current flowing through the circuit. The circuit is a basic representation of how voltage and current measurements are performed using a voltmeter and an ammeter. The voltmeter is parallel to a component to measure the voltage across it, while the ammeter is in series to measure the current through the circuit.
Transcribed Image Text:The diagram illustrates a simple electrical circuit consisting of the following components: 1. **Voltage Source (\( \mathcal{E} \)):** - Positioned at the bottom of the circuit. - The voltage source has polarities marked as negative (-) and positive (+). 2. **Resistors:** - There are two resistors in this circuit. - The first resistor is labeled \( R \) and is located on the branch with the voltmeter. - The second resistor has a resistance of \( 3.00 \, \text{k}\Omega \) and is positioned in series with the ammeter. 3. **Voltmeter (V):** - It is connected in parallel with the resistor \( R \). - Measures the potential difference across the resistor \( R \). 4. **Ammeter (A):** - It is connected in series with the \( 3.00 \, \text{k}\Omega \) resistor. - Measures the current flowing through the circuit. The circuit is a basic representation of how voltage and current measurements are performed using a voltmeter and an ammeter. The voltmeter is parallel to a component to measure the voltage across it, while the ammeter is in series to measure the current through the circuit.
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