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## Problem 3 **For what emf \( \mathcal{E} \) does the 200 \( \Omega \) resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom?** ### a) If the 200 \( \Omega \) resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case? ### b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \). ### Figure 3 Description: - The circuit consists of a 50 V battery, a 200 \( \Omega \) resistor in series, and a parallel connection of 100 \( \Omega \) and 300 \( \Omega \) resistors. - There is an unknown emf \( \mathcal{E} \) present in the circuit. - The positive terminal of the 50 V battery is connected to one end of the 100 \( \Omega \) resistor. **Note:** The problem involves applying Kirchhoff's laws to analyze the circuit and determine the conditions under which the 200 \( \Omega \) resistor does not dissipate power.

## Problem 3 **For what emf \( \mathcal{E} \) does the 200 \( \Omega \) resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom?** ### a) If the 200 \( \Omega \) resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case? ### b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \). ### Figure 3 Description: - The circuit consists of a 50 V battery, a 200 \( \Omega \) resistor in series, and a parallel connection of 100 \( \Omega \) and 300 \( \Omega \) resistors. - There is an unknown emf \( \mathcal{E} \) present in the circuit. - The positive terminal of the 50 V battery is connected to one end of the 100 \( \Omega \) resistor. **Note:** The problem involves applying Kirchhoff's laws to analyze the circuit and determine the conditions under which the 200 \( \Omega \) resistor does not dissipate power.

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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I really need help with PART A AND PART B, CAN YOU LABEL THEM AS WELL

## Problem 3 **For what emf \( \mathcal{E} \) does the 200 \( \Omega \) resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom?** ### a) If the 200 \( \Omega \) resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case? ### b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \). ### Figure 3 Description: - The circuit consists of a 50 V battery, a 200 \( \Omega \) resistor in series, and a parallel connection of 100 \( \Omega \) and 300 \( \Omega \) resistors. - There is an unknown emf \( \mathcal{E} \) present in the circuit. - The positive terminal of the 50 V battery is connected to one end of the 100 \( \Omega \) resistor. **Note:** The problem involves applying Kirchhoff's laws to analyze the circuit and determine the conditions under which the 200 \( \Omega \) resistor does not dissipate power.
Transcribed Image Text:## Problem 3 **For what emf \( \mathcal{E} \) does the 200 \( \Omega \) resistor in Fig. 3 dissipate no power? Should the emf be oriented with its positive terminal at the top or at the bottom?** ### a) If the 200 \( \Omega \) resistor dissipates no power, what does this mean for the distribution of the currents in the circuit? In other words, how are the currents through the different resistors related in this case? ### b) Choose any two different closed loops in the circuit and write down the Kirchhoff’s loop law for these loops. It must be possible to solve these two equations for the current and the emf \( \mathcal{E} \). ### Figure 3 Description: - The circuit consists of a 50 V battery, a 200 \( \Omega \) resistor in series, and a parallel connection of 100 \( \Omega \) and 300 \( \Omega \) resistors. - There is an unknown emf \( \mathcal{E} \) present in the circuit. - The positive terminal of the 50 V battery is connected to one end of the 100 \( \Omega \) resistor. **Note:** The problem involves applying Kirchhoff's laws to analyze the circuit and determine the conditions under which the 200 \( \Omega \) resistor does not dissipate power.
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