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Question: Answered & Verified by Expert
In a given network the equivalent capacitance between $A$ and $B$ is $C_{1}=C_{4}=1 \mu F, C_{2}=C_{3}=2 \mu F$.

PhysicsCapacitanceBITSATBITSAT 2021
Options:
  • A $3 \mu \mathrm{F}$
  • B $6 \mu \mathrm{F}$
  • C $4.5 \mu \mathrm{F}$
  • D $2.5 \mu \mathrm{F}$
Solution:
1299 Upvotes Verified Answer
The correct answer is: $3 \mu \mathrm{F}$
The equivalent circuit is shown in figure.




$\mathrm{C}_{\mathrm{AB}}=1+\frac{2 \times 2}{2+2}+1$

$\mathrm{C}_{\mathrm{AB}}=3 \mu \mathrm{F}$

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