Class 10 Exam > Class 10 Questions > A piece of wire having resistance 'R' is cut ... Start Learning for Free
A piece of wire having resistance 'R' is cut into four equal parts
a)how does the resistance of each part compare with the original resistance?
b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire?
a)how does the resistance of each part compare with the original resistance?
b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire?
Most Upvoted Answer
A piece of wire having resistance 'R' is cut into four equal partsa)ho...
Resistance of Each Part
When a piece of wire with resistance 'R' is cut into four equal parts, each part will have a resistance that is different from the original wire.
- Each part's resistance: Since the wire is cut into four equal lengths, the resistance of each part becomes R/4.
- Comparison: Therefore, each of the four pieces has a resistance that is one-fourth of the original resistance.
Resistance of the Combination in Parallel
If these four parts are placed in parallel, the total resistance of the combination can be calculated using the formula for resistors in parallel.
- Formula for resistance in parallel: For resistors R1, R2, R3, and R4, the total resistance (R_total) is given by:
1/R_total = 1/R1 + 1/R2 + 1/R3 + 1/R4.
- Applying to our case: Since each part has a resistance of R/4, we have:
1/R_total = 1/(R/4) + 1/(R/4) + 1/(R/4) + 1/(R/4) = 4/(R/4) = 16/R.
- Final calculation: Thus, R_total = R/16.
- Comparison: The total resistance of the four parts in parallel, R/16, is significantly less than the original resistance R.
In summary, cutting the wire into four equal parts reduces the resistance of each part to R/4, and placing all parts in parallel results in a total resistance of R/16, which is substantially lower than the original resistance.
When a piece of wire with resistance 'R' is cut into four equal parts, each part will have a resistance that is different from the original wire.
- Each part's resistance: Since the wire is cut into four equal lengths, the resistance of each part becomes R/4.
- Comparison: Therefore, each of the four pieces has a resistance that is one-fourth of the original resistance.
Resistance of the Combination in Parallel
If these four parts are placed in parallel, the total resistance of the combination can be calculated using the formula for resistors in parallel.
- Formula for resistance in parallel: For resistors R1, R2, R3, and R4, the total resistance (R_total) is given by:
1/R_total = 1/R1 + 1/R2 + 1/R3 + 1/R4.
- Applying to our case: Since each part has a resistance of R/4, we have:
1/R_total = 1/(R/4) + 1/(R/4) + 1/(R/4) + 1/(R/4) = 4/(R/4) = 16/R.
- Final calculation: Thus, R_total = R/16.
- Comparison: The total resistance of the four parts in parallel, R/16, is significantly less than the original resistance R.
In summary, cutting the wire into four equal parts reduces the resistance of each part to R/4, and placing all parts in parallel results in a total resistance of R/16, which is substantially lower than the original resistance.
 | Explore Courses for Class 10 exam |  |
Top Courses for Class 10View all
Top Courses for Class 10
Question Description
A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? for Class 10 2026 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? covers all topics & solutions for Class 10 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire?.
A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? for Class 10 2026 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? covers all topics & solutions for Class 10 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire?.
Solutions for A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? defined & explained in the simplest way possible. Besides giving the explanation of A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire?, a detailed solution for A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? has been provided alongside types of A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? theory, EduRev gives you an ample number of questions to practice A piece of wire having resistance 'R' is cut into four equal partsa)how does the resistance of each part compare with the original resistance?b)If the four parts are placed in parallel how will be the resistance of the combination compare with the resistance of the original wire? tests, examples and also practice Class 10 tests.
| Explore Courses for Class 10 exam | |
Top Courses for Class 10
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
