What is the Effective Capacitance Across A and B in This Network?

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SUMMARY

The effective capacitance across points A and B in the given network is 132 µF, which occurs when the four capacitors are arranged in parallel. The initial assumption that the capacitance should be zero due to a direct wire connection between A and B is incorrect. A short circuit does not contribute to capacitance, while the parallel configuration yields the specified capacitance value. The discussion clarifies the distinction between series and parallel capacitance calculations.

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Homework Statement


Here's the question as it was given.
WIN_20150510_213510.JPG


we should find the effective capacitance across A and B,

Homework Equations


##C_p = C_1 +C_2+...##
##\frac{1}{C_s} = \frac{1}{C_1} +\frac{1}{C_2} +...##

The Attempt at a Solution


Looking at the diagram i thought The capacitance should be zero.. shouldn't it be zero?
because there is a wire directly connecting A and B.
but the answer was given as 132 µF, that would happen if the 4 capacitors were in parallel, like this maybe
WIN_20150510_213656.JPG

then yes it should be 132µF.
i still think that the answer to the original question is zero, could someone verify or correct me.
Thank you
 

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Your first circuit is a short circuit so has no capacitance. The second one is 123uF.
 
NascentOxygen said:
one is 123uF.
You mean 132 µF
Thank you, just needed to be sure.:)
 

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