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AP EAMCET · PHYSICS · Capacitance

Eight capacitors each of capacity \(2 \mu \mathrm{~F}\) are arranged as shown in figure. The effective capacitance between \(A\) and \(B\) is

  1. A \(10 \mu \mathrm{~F}\)
  2. B \(12 \mu \mathrm{~F}\)
  3. C \(16 \mu \mathrm{~F}\)
  4. D \(4 \mu \mathrm{~F}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(10 \mu \mathrm{~F}\)

Step-by-step Solution

Detailed explanation

The effective capacitance between A and B is \(\begin{aligned} & \mathrm{C}_{\mathrm{AB}}=\frac{\mathrm{C}}{2}+2 \mathrm{C}+2 \mathrm{C}+\frac{\mathrm{C}}{2}=5 \mathrm{C} \\ & =5 \times 2=10 \mu \mathrm{~F} \end{aligned}\)
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