Class 10 Exam  >  Class 10 Questions  >  A resistor of length L is connected to a batt... Start Learning for Free
A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.?
Most Upvoted Answer
A resistor of length L is connected to a battery and current I is give...
Community Answer
A resistor of length L is connected to a battery and current I is give...
Current through divided resistors


Given


  • Length of the resistor = L

  • Current through the resistor = I

  • The resistor is divided into three parts by lenses, all having the same cross-sectional area

  • All parts are connected in parallel with the same battery



Solution


Calculating resistance of the original resistor

The resistance of the original resistor can be calculated using the formula:

R = ρL / A

Where:


  • R is the resistance

  • ρ is the resistivity of the material

  • L is the length of the resistor

  • A is the cross-sectional area of the resistor



Calculating resistance of each divided resistor

Since all three parts have the same cross-sectional area, their resistance can be calculated using the formula:

R' = ρ(L/3) / A = ρL / 3A


Calculating total resistance

The total resistance of the divided resistors connected in parallel can be calculated using the formula:

1/Rt = 1/R' + 1/R' + 1/R' = 3/R'


Therefore:

Rt = R' / 3 = ρL / 9A


Calculating current through each divided resistor

Using Ohm's law, we can calculate the current through each divided resistor:

I' = V / R' = VI / ρL / 3A = 3VI / ρL / 9A = 3I


Conclusion

The current through each divided resistor is 3I.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
Explore Courses for Class 10 exam

Top Courses for Class 10

A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.?
Question Description
A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.?.
Solutions for A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? 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 resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? defined & explained in the simplest way possible. Besides giving the explanation of A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.?, a detailed solution for A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? has been provided alongside types of A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? theory, EduRev gives you an ample number of questions to practice A resistor of length L is connected to a battery and current I is given through it if it is divided into three parts buy lens and all having the same cross sectional area are connected in parallel with same battery the current through them will be.? 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.
10M+ students study on EduRev