NEET Exam > NEET Questions > A uniform wire of resistance R and length L i...
Start Learning for Free
A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.
The effective resistance of the combination will be
- a)R
- b)4R
- c)R/4
- d)R/16
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A uniform wire of resistance R and length L is cut into four equal par...
As , resistance is directly proportional to length , the resistance of each part is R/4 , so when they are all connected in parallel, the resistance further become one fourth . Thus , the new resistance is R/16
Means ... 1/Reff = 1/R÷4 + 1/R÷4 + 1/R÷4 + 1/R÷4
1/Reff = 4/R + 4/R + 4/R + 4/R
Reff = R/16 ...ans...
$$Hope it's help... $$
Means ... 1/Reff = 1/R÷4 + 1/R÷4 + 1/R÷4 + 1/R÷4
1/Reff = 4/R + 4/R + 4/R + 4/R
Reff = R/16 ...ans...
$$Hope it's help... $$
Free Test
FREE
| Start Free Test |
Community Answer
A uniform wire of resistance R and length L is cut into four equal par...
Solution:
Resistance of a wire is given by the formula,
R = ρL/A, where ρ is resistivity of the material, L is length and A is area of cross section
When the uniform wire of resistance R and length L is cut into four equal parts, each of length L/4, the resistance of each part is given by
R' = ρL/4/A
As the four parts are connected in parallel, the effective resistance of the combination is given by
1/R_total = 1/R' + 1/R' + 1/R' + 1/R'
1/R_total = 4/R'
R_total = R'/4
Substituting the value of R' in the above equation, we get
R_total = ρL/4A/4
R_total = ρL/16A
R_total = R/16
Therefore, the effective resistance of the combination is R/16.
Hence, the correct option is (d) R/16.
Resistance of a wire is given by the formula,
R = ρL/A, where ρ is resistivity of the material, L is length and A is area of cross section
When the uniform wire of resistance R and length L is cut into four equal parts, each of length L/4, the resistance of each part is given by
R' = ρL/4/A
As the four parts are connected in parallel, the effective resistance of the combination is given by
1/R_total = 1/R' + 1/R' + 1/R' + 1/R'
1/R_total = 4/R'
R_total = R'/4
Substituting the value of R' in the above equation, we get
R_total = ρL/4A/4
R_total = ρL/16A
R_total = R/16
Therefore, the effective resistance of the combination is R/16.
Hence, the correct option is (d) R/16.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer?
Question Description
A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer?.
A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer?.
Solutions for A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A uniform wire of resistance R and length L is cut into four equal parts, each of length L/4 which are then connected in parallel combination.The effective resistance of the combination will bea)Rb)4Rc)R/4d)R/16Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup