UPSC Exam > UPSC Questions > Five identical wires of resistance each R are...
Start Learning for Free
Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm?
Most Upvoted Answer
Five identical wires of resistance each R are arranged in the form of ...
Analysis:
The given arrangement can be simplified by considering the series and parallel combinations of resistors.
Series Combination:
When resistors are connected in series, the total resistance is the sum of individual resistances.
Total resistance of the vertical wires (left side of 'A') = 2R
Total resistance of the horizontal wire (middle of 'A') = R
Total resistance of the inclined wires (right side of 'A') = 2R
Parallel Combination:
When resistors are connected in parallel, the reciprocal of the total resistance is the sum of reciprocals of individual resistances.
Effective resistance of the vertical wires (left side of 'A') = R/2
Effective resistance of the inclined wires (right side of 'A') = R/2
Effective resistance of the parallel combination of inclined wires = R/4
Overall Combination:
The total resistance of the entire 'A' shape can be calculated by considering the series and parallel combinations.
Total resistance = R + R/4 + R = 9R/4
Calculation:
Given that the total resistance is equal to 9R/4 and it is equal to 3 ohms,
9R/4 = 3
R = 4/3 ohms
Therefore, the effective resistance between the free ends of the 'A' shape is 9R/4 = 9*(4/3)/4 = 3 ohms.
Final Answer:
The correct option is 3) 3 ohms.
The given arrangement can be simplified by considering the series and parallel combinations of resistors.
Series Combination:
When resistors are connected in series, the total resistance is the sum of individual resistances.
Total resistance of the vertical wires (left side of 'A') = 2R
Total resistance of the horizontal wire (middle of 'A') = R
Total resistance of the inclined wires (right side of 'A') = 2R
Parallel Combination:
When resistors are connected in parallel, the reciprocal of the total resistance is the sum of reciprocals of individual resistances.
Effective resistance of the vertical wires (left side of 'A') = R/2
Effective resistance of the inclined wires (right side of 'A') = R/2
Effective resistance of the parallel combination of inclined wires = R/4
Overall Combination:
The total resistance of the entire 'A' shape can be calculated by considering the series and parallel combinations.
Total resistance = R + R/4 + R = 9R/4
Calculation:
Given that the total resistance is equal to 9R/4 and it is equal to 3 ohms,
9R/4 = 3
R = 4/3 ohms
Therefore, the effective resistance between the free ends of the 'A' shape is 9R/4 = 9*(4/3)/4 = 3 ohms.
Final Answer:
The correct option is 3) 3 ohms.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm?
Question Description
Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm?.
Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm?.
Solutions for Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? defined & explained in the simplest way possible. Besides giving the explanation of
Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm?, a detailed solution for Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? has been provided alongside types of Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? theory, EduRev gives you an
ample number of questions to practice Five identical wires of resistance each R are arranged in the form of the letter 'A'. The effective resistance between its free ends is 1)10 ohm 2) 3/16 ohm 3) 32/3 ohm 4) 16/3 ohm (B) * 4 ohm 6 ohm (C) 6 Ω, 2 Ω (D) 8 ohm ,1 ohm? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup