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What is the effective capacitance between points X and Y? (a) 24 m F (b) 18 m F (c) 12 m F (d) 6 m F



What is the effective capacitance between points X and Y?


 



        (a)    24 mF        


(b)    18 mF


        (c)    12 mF        


(d)    6 mF


Grade:10

2 Answers

Aditi Chauhan
askIITians Faculty 396 Points
10 years ago

(d)

Equivalent circuit

 

 

        Hence, no charge will flow through 20 mF

 

        C1 and C2 are in series, also C3 and C4 are in series.

Hence, C'' = 3 mF, C" = 3 mF

C'' and C" are in parallel.

Hence net capacitance = C'' + C" = 3 + 3 = 6 mF

Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

645-1909_01.PNG
Equivalent circuit

645-622_01.PNG
Hence
C1/C3 = C2/C4
Hence, no charge will flow through 20 mF
645-1358_01.PNG
C1 and C2 are in series, also C3 and C4 are in series.
Hence, C'' = 3 mF, C" = 3 mF
C'' and C" are in parallel.
Hence net capacitance = C'' + C" = 3 + 3 = 6 mF

Thanks and Regards

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