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In the circuit of the figure below, the current I, is 1.8 A and the values of & and R are unknown. What are the currents 12 and 13? (Enter the magnitude only.) 1₂ = A 13 = A 413 R E 3.0 Ω 24 V 12 60 Ω -

In the circuit of the figure below, the current I, is 1.8 A and the values of & and R are unknown. What are the currents 12 and 13? (Enter the magnitude only.) 1₂ = A 13 = A 413 R E 3.0 Ω 24 V 12 60 Ω -

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
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### Circuit Analysis Problem **Problem Statement:** In the circuit of the figure below, the current \( I_1 \) is 1.8 A and the values of \( \mathcal{E} \) and \( R \) are unknown. What are the currents \( I_2 \) and \( I_3 \)? (Enter the magnitude only.) **Inputs:** - \( I_2 = \) _____ A - \( I_3 = \) _____ A **Diagram Explanation:** The circuit diagram includes the following components: - A voltage source \( \epsilon \) with a polarity marked as negative on the left and positive on the right. - A fixed 24 V voltage source, also marked with negative and positive polarity. - Three branches with resistors: - A resistor with resistance \( R \) in the left branch. - A resistor with resistance 3.0 \(\Omega\) in the middle branch. - A resistor with resistance 6.0 \(\Omega\) in the right branch. **Current Flow:** - Current \( I_1 \) flows downward through the 6.0 \(\Omega\) resistor. - Current \( I_2 \) flows downward through the 3.0 \(\Omega\) resistor. - Current \( I_3 \) flows leftward through the resistor \( R \). The circuit forms a loop with nodes \( a \) and \( b \), where node \( a \) is connected to both voltage sources. **Objective:** Determine the magnitudes of currents \( I_2 \) and \( I_3 \) in the circuit.
Transcribed Image Text:### Circuit Analysis Problem **Problem Statement:** In the circuit of the figure below, the current \( I_1 \) is 1.8 A and the values of \( \mathcal{E} \) and \( R \) are unknown. What are the currents \( I_2 \) and \( I_3 \)? (Enter the magnitude only.) **Inputs:** - \( I_2 = \) _____ A - \( I_3 = \) _____ A **Diagram Explanation:** The circuit diagram includes the following components: - A voltage source \( \epsilon \) with a polarity marked as negative on the left and positive on the right. - A fixed 24 V voltage source, also marked with negative and positive polarity. - Three branches with resistors: - A resistor with resistance \( R \) in the left branch. - A resistor with resistance 3.0 \(\Omega\) in the middle branch. - A resistor with resistance 6.0 \(\Omega\) in the right branch. **Current Flow:** - Current \( I_1 \) flows downward through the 6.0 \(\Omega\) resistor. - Current \( I_2 \) flows downward through the 3.0 \(\Omega\) resistor. - Current \( I_3 \) flows leftward through the resistor \( R \). The circuit forms a loop with nodes \( a \) and \( b \), where node \( a \) is connected to both voltage sources. **Objective:** Determine the magnitudes of currents \( I_2 \) and \( I_3 \) in the circuit.
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I1 = 1.8 A R1 = 3 ohm R2 = 6 ohm unknown resistance = R unknown emf = E 

 

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