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The four cases are ranked in terms of the total resistance of the circuit, from highest to lowest. Which ranking is correct? R3 R4 E B R1 R2 R3 R4 R1 R2 C R1 R3 R1 R2 R2 R4 R3 R4 O D>A> B=C O A>B>C>D B = C > D > A A = D > B = C D

The four cases are ranked in terms of the total resistance of the circuit, from highest to lowest. Which ranking is correct? R3 R4 E B R1 R2 R3 R4 R1 R2 C R1 R3 R1 R2 R2 R4 R3 R4 O D>A> B=C O A>B>C>D B = C > D > A A = D > B = C D

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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R1: 10 ohms R2: 20 ohms R3: 30 ohms R4: 40 ohms
**Ranking Circuit Resistance: An Educational Explanation** The image presents four different circuit configurations labeled A, B, C, and D. We are tasked with ranking them based on their total resistance, from highest to lowest. ### Circuit Descriptions: #### Circuit A: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - R1 and R2 are in series. - R3 and R4 are in series. - The two series groups (R1-R2 and R3-R4) are in parallel with each other. #### Circuit B: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - All resistors (R1, R2, R3, R4) are arranged in series. #### Circuit C: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - R1 and R3 are in parallel. - R2 and R4 are in parallel. - The two parallel groups are then in series with each other. #### Circuit D: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - All resistors (R1, R2, R3, R4) are in parallel. ### Ranking Considerations: - **Series Circuits**: Total resistance is the sum of all individual resistances. - **Parallel Circuits**: Total resistance is less than the smallest individual resistance due to the reciprocal addition of resistances. ### Ranking Answer Choices: - **Option 1**: D > A > B = C - **Option 2**: A > B > C > D - **Option 3**: B = C > D > A - **Option 4**: A = D > B = C ### Correct Ranking: - **Option 2: A > B > C > D** This ranking implies that Circuit A has the highest total resistance, followed by Circuit B, Circuit C, and finally, Circuit D with the lowest resistance.
Transcribed Image Text:**Ranking Circuit Resistance: An Educational Explanation** The image presents four different circuit configurations labeled A, B, C, and D. We are tasked with ranking them based on their total resistance, from highest to lowest. ### Circuit Descriptions: #### Circuit A: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - R1 and R2 are in series. - R3 and R4 are in series. - The two series groups (R1-R2 and R3-R4) are in parallel with each other. #### Circuit B: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - All resistors (R1, R2, R3, R4) are arranged in series. #### Circuit C: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - R1 and R3 are in parallel. - R2 and R4 are in parallel. - The two parallel groups are then in series with each other. #### Circuit D: - **Components**: Four resistors (R1, R2, R3, R4) and a power source (E). - **Configuration**: - All resistors (R1, R2, R3, R4) are in parallel. ### Ranking Considerations: - **Series Circuits**: Total resistance is the sum of all individual resistances. - **Parallel Circuits**: Total resistance is less than the smallest individual resistance due to the reciprocal addition of resistances. ### Ranking Answer Choices: - **Option 1**: D > A > B = C - **Option 2**: A > B > C > D - **Option 3**: B = C > D > A - **Option 4**: A = D > B = C ### Correct Ranking: - **Option 2: A > B > C > D** This ranking implies that Circuit A has the highest total resistance, followed by Circuit B, Circuit C, and finally, Circuit D with the lowest resistance.
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