Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Three capacitors of capacitance <img alt="\mathrm{3\, \mu f,9\, \mu f\: and\: 18\, \mu f}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B3%5C%2C%20%5Cmu%20f%2C9%5C%2C%20%5Cmu%20f

Three capacitors of capacitance \mathrm{3\, \mu f,9\, \mu f\: and\: 18\, \mu f} are connected once in series and another time in parallel. The ratio of equivalent capacitance in the two cases \mathrm{\left(\frac{C_{s}}{C_{p}}\right)} will be -

Option: 1

1: 15


Option: 2

15: 1


Option: 3

1: 1


Option: 4

1: 3


Answers (1)

best_answer

Given,

\mathrm{c_{1}=3 \, \mu \mathrm{f}}
\mathrm{c_{2}=9 \, \mu \mathrm{f}}
\mathrm{c_{3}=18 \, \mu \mathrm{f}}

Case I  All are in series -
              \mathrm{\frac{1}{c_{s}}=\frac{1}{3}+\frac{1}{9}+\frac{1}{18}}
               \mathrm{\frac{1}{c_{s}}=\frac{6+2+1}{18}=\frac{9}{18}}
              \mathrm{\frac{1}{c_{s}}=\frac{1}{2} \Rightarrow c_{s}=2 \mu \mathrm{F}}

Case II   All are in parallel
              \mathrm{C_{p}=3+9+18=30\, \mu \mathrm{F}}

Now,
          \mathrm{\left(\frac{C_{s}}{C_{p}}\right)=\frac{2\, \mu f}{30\, \mu f}=\frac{1}{25} }  Ans

       

Posted by

SANGALDEEP SINGH

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JAC Chandigarh Counselling 2025: Round 1 seat allotment result out for BTech admissions
anam-khan

JoSAA round 5 seat allotment result 2025 out on josaa.nic.in
anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today

Latest Question