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A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.
Correct answer is '2.12 to 2.16'. Can you explain this answer?
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Problem Statement: Find the maximum and minimum possible overall resistance of a connection consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10, 5, 2 are provided. Also, find the ratio of maximum to minimum values of the resistances (up to second decimal place).
Solution:
To find the maximum and minimum possible overall resistance, we need to consider all possible permutations of the given resistors into the positions A, B, and C. There are six possible configurations:
1. A = 10, B = 5, C = 2
2. A = 10, B = 2, C = 5
3. A = 5, B = 10, C = 2
4. A = 5, B = 2, C = 10
5. A = 2, B = 10, C = 5
6. A = 2, B = 5, C = 10
We can calculate the overall resistance for each configuration using the following formula:
Overall resistance = A + (B*C) / (B+C)
Maximum possible overall resistance:
To find the configuration with the maximum possible overall resistance, we need to calculate the overall resistance for each configuration and select the one with the highest value.
1. A = 10, B = 5, C = 2: Overall resistance = 10 + (5*2)/(5+2) = 11.43
2. A = 10, B = 2, C = 5: Overall resistance = 10 + (2*5)/(2+5) = 11.43
3. A = 5, B = 10, C = 2: Overall resistance = 5 + (10*2)/(10+2) = 7.91
4. A = 5, B = 2, C = 10: Overall resistance = 5 + (2*10)/(2+10) = 4.17
5. A = 2, B = 10, C = 5: Overall resistance = 2 + (10*5)/(10+5) = 3.33
6. A = 2, B = 5, C = 10: Overall resistance = 2 + (5*10)/(5+10) = 1.82
Therefore, the configurations with the maximum possible overall resistance are 1 and 2, with an overall resistance of 11.43.
Minimum possible overall resistance:
To find the configuration with the minimum possible overall resistance, we need to calculate the overall resistance for each configuration and select the one with the lowest value.
1. A = 10, B = 5, C = 2: Overall resistance = 10 + (5*2)/(5+2) = 11.43
2. A = 10, B = 2, C = 5: Overall resistance = 10 + (2*5)/(2+5) = 11.43
3. A = 5, B = 10, C = 2: Overall resistance = 5 + (10*2)/(10+2) = 7.91
4. A = 5
Solution:
To find the maximum and minimum possible overall resistance, we need to consider all possible permutations of the given resistors into the positions A, B, and C. There are six possible configurations:
1. A = 10, B = 5, C = 2
2. A = 10, B = 2, C = 5
3. A = 5, B = 10, C = 2
4. A = 5, B = 2, C = 10
5. A = 2, B = 10, C = 5
6. A = 2, B = 5, C = 10
We can calculate the overall resistance for each configuration using the following formula:
Overall resistance = A + (B*C) / (B+C)
Maximum possible overall resistance:
To find the configuration with the maximum possible overall resistance, we need to calculate the overall resistance for each configuration and select the one with the highest value.
1. A = 10, B = 5, C = 2: Overall resistance = 10 + (5*2)/(5+2) = 11.43
2. A = 10, B = 2, C = 5: Overall resistance = 10 + (2*5)/(2+5) = 11.43
3. A = 5, B = 10, C = 2: Overall resistance = 5 + (10*2)/(10+2) = 7.91
4. A = 5, B = 2, C = 10: Overall resistance = 5 + (2*10)/(2+10) = 4.17
5. A = 2, B = 10, C = 5: Overall resistance = 2 + (10*5)/(10+5) = 3.33
6. A = 2, B = 5, C = 10: Overall resistance = 2 + (5*10)/(5+10) = 1.82
Therefore, the configurations with the maximum possible overall resistance are 1 and 2, with an overall resistance of 11.43.
Minimum possible overall resistance:
To find the configuration with the minimum possible overall resistance, we need to calculate the overall resistance for each configuration and select the one with the lowest value.
1. A = 10, B = 5, C = 2: Overall resistance = 10 + (5*2)/(5+2) = 11.43
2. A = 10, B = 2, C = 5: Overall resistance = 10 + (2*5)/(2+5) = 11.43
3. A = 5, B = 10, C = 2: Overall resistance = 5 + (10*2)/(10+2) = 7.91
4. A = 5
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A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer?
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A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer?.
A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A connection is made consisting of resistance A in series with a parallel combination of resistances B and C. Three resistors of value 10Ω, 5Ω, 2Ω are provided. Consider all possible permutations of the given resistors into the positions A, B, C, and identify the configurations with maximum possible overall resistance, and also the ones with minimum possible overall resistance. The ratio of maximum to minimum values of the resistances (up to second decimal place) is ____________.Correct answer is '2.12 to 2.16'. Can you explain this answer?.
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