ε 24 V R 3.0 Ω 6.0 Ω

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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In the circuit of the figure below, the current I1 is 1.9 A and the values of and R are unknown. What are the currents I2 and I3? (Enter the magnitude only.)

This image shows a simple electric circuit with two batteries and three resistors. 

1. **Batteries:**
   - The first battery has an electromotive force (EMF) labeled as \( \mathcal{E} \).
   - The second battery has a voltage of 24V.

2. **Resistors:**
   - The first resistor, \( R \), is connected in series with the first battery.
   - The second resistor has a resistance of 3.0Ω and is connected in parallel between points a and b.
   - The third resistor has a resistance of 6.0Ω and is also connected in parallel between points a and b.

3. **Currents:**
   - \( I_3 \) is the current flowing through resistor \( R \) and the first battery, moving upwards.
   - \( I_2 \) is the current flowing through the 3.0Ω resistor, moving downwards.
   - \( I_1 \) is the current flowing through the 6.0Ω resistor, moving downwards.

This configuration represents a typical example used to study Kirchhoff's circuit laws, allowing for the analysis of current flow and voltage distribution in electric circuits.
Transcribed Image Text:This image shows a simple electric circuit with two batteries and three resistors. 1. **Batteries:** - The first battery has an electromotive force (EMF) labeled as \( \mathcal{E} \). - The second battery has a voltage of 24V. 2. **Resistors:** - The first resistor, \( R \), is connected in series with the first battery. - The second resistor has a resistance of 3.0Ω and is connected in parallel between points a and b. - The third resistor has a resistance of 6.0Ω and is also connected in parallel between points a and b. 3. **Currents:** - \( I_3 \) is the current flowing through resistor \( R \) and the first battery, moving upwards. - \( I_2 \) is the current flowing through the 3.0Ω resistor, moving downwards. - \( I_1 \) is the current flowing through the 6.0Ω resistor, moving downwards. This configuration represents a typical example used to study Kirchhoff's circuit laws, allowing for the analysis of current flow and voltage distribution in electric circuits.
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