Question 39 of 180

The equivalent capacitance between points $A$ and $B$ in below shown figure will be _____ $\mu F$.

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Answer: 6

Point $3$ and $4$ are at same potential, hence we can replace the capacitor with a wire.

Capacitors between points $A$ and $3$ are in parallel combination as shown above and their combined capacitance value will be $3C$.
This $3C$ capacitance is in series with $C$.
The equivalent capacitance of the system between points A and B is,
${C}_{AB}=\dfrac{3C\times C}{3C+C}=\dfrac{3C}{4}$
$\Rightarrow {C}_{AB}=\dfrac{3}{4}\times 8\mu F=6\mu F$

JEE Main Physics practice question on Capacitors (Grouping of capacitors), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.