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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
7 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
10 months 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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