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COMEDK · Physics · 18. Capacitance

In the network shown in figure, the equivalent capacitance between points \(P\) and \(Q\) is

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

Answer & Solution

Correct Answer

(A) \(1 \mu \mathrm{F}\)

Step-by-step Solution

Detailed explanation

Simplify from right to left. Rightmost section: \(3\mu F\), \(3\mu F\), \(3\mu F\) in series (path \(B \to C \to D \to E\)): \(\dfrac{1}{C_{eq1}} = \dfrac{1}{3} + \dfrac{1}{3} + \dfrac{1}{3} = 1 \Rightarrow C_{eq1} = 1\mu F\) This \(1\mu F\) is in parallel with \(2\mu F\)…