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n the figure the resistances are R1 = 1.0 Ω and R2 = 2.0 Ω, and the ideal batteries have emfs ε1 = 2.9 V, and ε2 = ε3 = 3.7 V. What are the (a) size and direction (up or down) of the current in battery 1, the (c) size and direction of the current in battery 2, and the (e) size and direction of the current in battery 3?

n the figure the resistances are R1 = 1.0 Ω and R2 = 2.0 Ω, and the ideal batteries have emfs ε1 = 2.9 V, and ε2 = ε3 = 3.7 V. What are the (a) size and direction (up or down) of the current in battery 1, the (c) size and direction of the current in battery 2, and the (e) size and direction of the current in battery 3?

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
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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 figure the resistances are R1 = 1.0 Ω and R2 = 2.0 Ω, and the ideal batteries have emfs ε1 = 2.9 V, and ε2 = ε3 = 3.7 V. What

are the (a) size and direction (up or down) of the current in battery 1, the (c) size and direction of the current in battery 2, and the (e) size and direction of the current in battery 3? 

The image displays an electrical circuit diagram with the following components and labels: 1. **Resistors**: - Three resistors labeled \( R_1 \) and one resistor labeled \( R_2 \). - The \( R_1 \) resistors are positioned on the left, top, and right sides of the diagram. The \( R_2 \) resistor connects the points labeled \( a \) and \( b \). 2. **Voltage Sources**: - Three voltage sources (\( \mathcal{E}_1 \), \( \mathcal{E}_2 \), \( \mathcal{E}_3 \)) are incorporated into the circuit. - \( \mathcal{E}_1 \) is at the bottom left, with its positive side connected to the \( R_1 \) resistor at the bottom. - \( \mathcal{E}_2 \) is at the bottom, connected between points \( b \) and the bottom resistor. - \( \mathcal{E}_3 \) is on the right, with its positive side facing up and connected to the \( R_1 \) resistor at the top. 3. **Connections**: - The circuit forms a closed loop with junction points labeled \( a \) and \( b \). - A vertical branch connecting the nodes \( a \) and \( b \) contains the resistor \( R_2 \) and voltage source \( \mathcal{E}_2 \). 4. **Current Directions**: - Arrows on the voltage sources show the conventional current direction, indicating the assumed direction of positive charge flow. This circuit is typically used to illustrate concepts such as Kirchhoff's voltage law, current calculations in multi-loop circuits, and the analysis of potential differences across circuit components.
Transcribed Image Text:The image displays an electrical circuit diagram with the following components and labels: 1. **Resistors**: - Three resistors labeled \( R_1 \) and one resistor labeled \( R_2 \). - The \( R_1 \) resistors are positioned on the left, top, and right sides of the diagram. The \( R_2 \) resistor connects the points labeled \( a \) and \( b \). 2. **Voltage Sources**: - Three voltage sources (\( \mathcal{E}_1 \), \( \mathcal{E}_2 \), \( \mathcal{E}_3 \)) are incorporated into the circuit. - \( \mathcal{E}_1 \) is at the bottom left, with its positive side connected to the \( R_1 \) resistor at the bottom. - \( \mathcal{E}_2 \) is at the bottom, connected between points \( b \) and the bottom resistor. - \( \mathcal{E}_3 \) is on the right, with its positive side facing up and connected to the \( R_1 \) resistor at the top. 3. **Connections**: - The circuit forms a closed loop with junction points labeled \( a \) and \( b \). - A vertical branch connecting the nodes \( a \) and \( b \) contains the resistor \( R_2 \) and voltage source \( \mathcal{E}_2 \). 4. **Current Directions**: - Arrows on the voltage sources show the conventional current direction, indicating the assumed direction of positive charge flow. This circuit is typically used to illustrate concepts such as Kirchhoff's voltage law, current calculations in multi-loop circuits, and the analysis of potential differences across circuit components.
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