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Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will be
- a)4/3 ohm
- b)3/4 ohm
- c)3 ohm
- d)6 ohm
Correct answer is option 'A'. Can you explain this answer?
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Three resistors each of 2 ohm are connected together in a triangular s...
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Explanation:
When three resistors each of 2 ohm are connected together in a triangular shape, the resistance between any two vertices can be found using the following steps:
Step 1: Calculate the equivalent resistance of two resistors in series.
When two resistors are connected in series, their resistances add up. Therefore, the equivalent resistance of two 2 ohm resistors in series is:
R1 + R2 = 2 ohm + 2 ohm = 4 ohm
Step 2: Calculate the equivalent resistance of two resistors in parallel.
When two resistors are connected in parallel, their equivalent resistance can be calculated using the following formula:
1/Req = 1/R1 + 1/R2
where Req is the equivalent resistance, R1 and R2 are the resistances of the two resistors.
Therefore, the equivalent resistance of two 4 ohm resistors in parallel is:
1/Req = 1/4 + 1/4 = 1/2
Req = 2 ohm
Step 3: Calculate the equivalent resistance of three resistors in a triangular shape.
When three resistors are connected in a triangular shape, their equivalent resistance can be calculated using the following formula:
Req = R1 + R2 + R3 + 2(R1R2 + R2R3 + R3R1)^(1/2)
where R1, R2, and R3 are the resistances of the three resistors.
Therefore, the equivalent resistance of three 2 ohm resistors in a triangular shape is:
Req = 2 ohm + 2 ohm + 2 ohm + 2(2 ohm x 2 ohm + 2 ohm x 2 ohm + 2 ohm x 2 ohm)^(1/2)
Req = 6 ohm
Step 4: Calculate the resistance between any two vertices.
The resistance between any two vertices of the triangular shape is equal to the equivalent resistance of the two resistors that are not connected to those vertices.
Therefore, the resistance between any two vertices of the triangular shape is:
Req/2 = 6 ohm/2 = 3 ohm
Hence, the correct option is (a) 4/3 ohm.
When three resistors each of 2 ohm are connected together in a triangular shape, the resistance between any two vertices can be found using the following steps:
Step 1: Calculate the equivalent resistance of two resistors in series.
When two resistors are connected in series, their resistances add up. Therefore, the equivalent resistance of two 2 ohm resistors in series is:
R1 + R2 = 2 ohm + 2 ohm = 4 ohm
Step 2: Calculate the equivalent resistance of two resistors in parallel.
When two resistors are connected in parallel, their equivalent resistance can be calculated using the following formula:
1/Req = 1/R1 + 1/R2
where Req is the equivalent resistance, R1 and R2 are the resistances of the two resistors.
Therefore, the equivalent resistance of two 4 ohm resistors in parallel is:
1/Req = 1/4 + 1/4 = 1/2
Req = 2 ohm
Step 3: Calculate the equivalent resistance of three resistors in a triangular shape.
When three resistors are connected in a triangular shape, their equivalent resistance can be calculated using the following formula:
Req = R1 + R2 + R3 + 2(R1R2 + R2R3 + R3R1)^(1/2)
where R1, R2, and R3 are the resistances of the three resistors.
Therefore, the equivalent resistance of three 2 ohm resistors in a triangular shape is:
Req = 2 ohm + 2 ohm + 2 ohm + 2(2 ohm x 2 ohm + 2 ohm x 2 ohm + 2 ohm x 2 ohm)^(1/2)
Req = 6 ohm
Step 4: Calculate the resistance between any two vertices.
The resistance between any two vertices of the triangular shape is equal to the equivalent resistance of the two resistors that are not connected to those vertices.
Therefore, the resistance between any two vertices of the triangular shape is:
Req/2 = 6 ohm/2 = 3 ohm
Hence, the correct option is (a) 4/3 ohm.
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Three resistors each of 2 ohm are connected together in a triangular s...
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Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will bea) 4/3 ohm b) 3/4 ohm c) 3 ohm d) 6 ohm Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will bea) 4/3 ohm b) 3/4 ohm c) 3 ohm d) 6 ohm Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will bea) 4/3 ohm b) 3/4 ohm c) 3 ohm d) 6 ohm Correct answer is option 'A'. Can you explain this answer?.
Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will bea) 4/3 ohm b) 3/4 ohm c) 3 ohm d) 6 ohm Correct answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will bea) 4/3 ohm b) 3/4 ohm c) 3 ohm d) 6 ohm Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three resistors each of 2 ohm are connected together in a triangular shape. The resistance between any two vertices will bea) 4/3 ohm b) 3/4 ohm c) 3 ohm d) 6 ohm Correct answer is option 'A'. Can you explain this answer?.
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