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37)Consider the circuits shown below. (a) What is the current through each resistor in part (a)? (b) What is the current through each resistor in part (b)? (c) What is the power dissipated or consumed by each circuit? (d) What is the power supplied to each circuit? Please show all work using this. (Actual values, equations, and drawings)

37)Consider the circuits shown below. (a) What is the current through each resistor in part (a)? (b) What is the current through each resistor in part (b)? (c) What is the power dissipated or consumed by each circuit? (d) What is the power supplied to each circuit? Please show all work using this. (Actual values, equations, and drawings)

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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37)Consider the circuits shown below. (a) What is the current through each resistor in part (a)? (b) What is the current through each resistor in part (b)? (c) What is the power dissipated or consumed by each circuit? (d) What is the power supplied to each circuit?

Please show all work using this. (Actual values, equations, and drawings)

The image shows two electrical circuit diagrams labeled (a) and (b). Each circuit consists of two voltage sources and three resistors. The components are labeled as follows: **Diagram (a):** - **Voltage Sources:** - \( V_1 = 1.6 \, \text{V} \) (on the left side) - \( V_2 = 1.4 \, \text{V} \) (on the right side) - **Resistors:** - \( R_1 = 2 \, \text{k}\Omega \) connected vertically between the two voltage sources. - \( R_2 = 1 \, \text{k}\Omega \) connected in series with \( V_1 \). - \( R_3 = 1 \, \text{k}\Omega \) connected in series with \( V_2 \). **Diagram (b):** - The configuration and components are identical to Diagram (a). Both diagrams illustrate series-parallel circuits where resistors and voltage sources are interconnected. The resistors \( R_2 \) and \( R_3 \) are in series with their respective voltage sources, and \( R_1 \) bridges the two sections horizontally, completing the circuit. This setup could be used to explore the effects of different voltage and resistor values on overall circuit behavior, such as current flow and voltage drops across each resistor.
Transcribed Image Text:The image shows two electrical circuit diagrams labeled (a) and (b). Each circuit consists of two voltage sources and three resistors. The components are labeled as follows: **Diagram (a):** - **Voltage Sources:** - \( V_1 = 1.6 \, \text{V} \) (on the left side) - \( V_2 = 1.4 \, \text{V} \) (on the right side) - **Resistors:** - \( R_1 = 2 \, \text{k}\Omega \) connected vertically between the two voltage sources. - \( R_2 = 1 \, \text{k}\Omega \) connected in series with \( V_1 \). - \( R_3 = 1 \, \text{k}\Omega \) connected in series with \( V_2 \). **Diagram (b):** - The configuration and components are identical to Diagram (a). Both diagrams illustrate series-parallel circuits where resistors and voltage sources are interconnected. The resistors \( R_2 \) and \( R_3 \) are in series with their respective voltage sources, and \( R_1 \) bridges the two sections horizontally, completing the circuit. This setup could be used to explore the effects of different voltage and resistor values on overall circuit behavior, such as current flow and voltage drops across each resistor.
### Circuit Analysis Example #### Given Parameters: - \( R_1 = \frac{2}{3} \Omega \) - \( R_2 = \frac{1}{3} \Omega \) - \( R_3 = \frac{1}{3} \Omega \) - \( V_1 = 1.6 \, \text{V} \) - \( V_2 = 1.4 \, \text{V} \) #### Objective: 1. Find \( I_1, I_2, I_3 \) 2. Calculate \( J_c \) 3. Calculate \( B_m \) #### Circuit Diagram: The diagram shows a circuit with three resistors \( R_1, R_2, R_3 \) and two voltage sources \( V_1, V_2 \). The currents \( I_1 \), \( I_2 \), and \( I_3 \) are assigned as shown in the circuit. #### Analysis Steps: 1. **Kirchhoff’s Current Law:** - \( I_2 + I_3 = I_1 \) 2. **Kirchhoff’s Voltage Law Equations:** - Loop 1: \( V_1 - I_2 R_2 - I_1 R_1 = 0 \) - Loop 2: \( V_2 - I_3 R_3 - I_1 R_1 = 0 \) 3. **Solving the Equations:** - Rearrange the equations from step 2: - \( (i) \quad I_2 = \frac{V_1 - I_1 R_1}{R_2} \) - \( (ii) \quad I_3 = \frac{V_2 - I_1 R_1}{R_3} \) 4. **Substituting in the Current Law:** - \( \frac{V_1 - I_1 R_1}{R_2} + \frac{V_2 - I_1 R_1}{R_3} = I_1 \) 5. **Further Simplification:** - \( \left(\frac{V_1}{R_2} + \frac{V_2}{R_3}\right) - I_1 \left(\frac{R_1}{
Transcribed Image Text:### Circuit Analysis Example #### Given Parameters: - \( R_1 = \frac{2}{3} \Omega \) - \( R_2 = \frac{1}{3} \Omega \) - \( R_3 = \frac{1}{3} \Omega \) - \( V_1 = 1.6 \, \text{V} \) - \( V_2 = 1.4 \, \text{V} \) #### Objective: 1. Find \( I_1, I_2, I_3 \) 2. Calculate \( J_c \) 3. Calculate \( B_m \) #### Circuit Diagram: The diagram shows a circuit with three resistors \( R_1, R_2, R_3 \) and two voltage sources \( V_1, V_2 \). The currents \( I_1 \), \( I_2 \), and \( I_3 \) are assigned as shown in the circuit. #### Analysis Steps: 1. **Kirchhoff’s Current Law:** - \( I_2 + I_3 = I_1 \) 2. **Kirchhoff’s Voltage Law Equations:** - Loop 1: \( V_1 - I_2 R_2 - I_1 R_1 = 0 \) - Loop 2: \( V_2 - I_3 R_3 - I_1 R_1 = 0 \) 3. **Solving the Equations:** - Rearrange the equations from step 2: - \( (i) \quad I_2 = \frac{V_1 - I_1 R_1}{R_2} \) - \( (ii) \quad I_3 = \frac{V_2 - I_1 R_1}{R_3} \) 4. **Substituting in the Current Law:** - \( \frac{V_1 - I_1 R_1}{R_2} + \frac{V_2 - I_1 R_1}{R_3} = I_1 \) 5. **Further Simplification:** - \( \left(\frac{V_1}{R_2} + \frac{V_2}{R_3}\right) - I_1 \left(\frac{R_1}{
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