JEE Exam  >  JEE Questions  >  An infinite no. of capacitors with capacitanc... Start Learning for Free
An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will be
  • a)
    8 μF
  • b)
    6 μF
  • c)
    4 μF
  • d)
    2 μF
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/4...

Explanation:

Equivalent Capacitance Calculation:
- The formula for calculating the equivalent capacitance of capacitors connected in parallel is simply the sum of all the individual capacitances.
- Therefore, the equivalent capacitance of an infinite number of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. connected in parallel would be:
1 + 1/21 + 1/41 + 1/81 + ... = 1 + 1/20 + 1/40 + 1/80 + ... = 1(1 + 1/20 + 1/40 + 1/80 + ...)
- This is a geometric progression with first term 1 and common ratio 1/20. The sum of an infinite geometric progression with first term a and common ratio r (|r| < 1)="" is="" />
- Applying the formula, we get:
1/(1 - 1/20) = 1/(19/20) = 20/19 μF
- Therefore, the equivalent capacitance of the infinite combination of capacitors is 20/19 μF which is approximately equal to 1.05 μF.

Comparison with Given Options:
- Among the given options, the closest value to 1.05 μF is 2 μF.
- Hence, the correct answer is option 'D' - 2 μF.
Explore Courses for JEE exam
An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer?
Question Description
An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer?.
Solutions for An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An infinite no. of capacitors with capacitances 1μF, 1/21μF, 1/41μF, 1/81μF, ...etc. are connected in parallel combination. Their equivalent capcitance will bea)8 μFb)6 μFc)4 μFd)2 μFCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

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