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Given:

A complex CIRCUIT consisting of capacitors have been provided.

To find:

The EQUIVALENT capacitance in between TERMINALS A and B?

Calculation:

In this kind of complex circuits we first need to to designate potential drops ALONG each capacitor and then try to simplify the circuit using the following tool :

  • Capacitors which same potential drop will be considered in parallel combination.

Now, refer to the attached image to understand the designation of potential drops and the simplified circuit:

  • Now, all the capacitors have capacitance of 4\mu F.

Now, the simplified circuit can be CALCULATED in series combination in each branch ( see 3rd diagram).

  • Finally all the branches are in parallel.

\sf \therefore \: C_{eq} = C_{1} + C_{2} + C_{3}

\sf \implies \: C_{eq} =4 + 2 + 2

\sf \implies \: C_{eq} =8 \:  \mu F

Hope It Helps.



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