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COMEDK · Physics · 18. Capacitance

In the figure below, the capacitance of each capacitor is \(3 \mu \mathrm{F}\). The effective capacitance between \(A\) and \(B\) is

  1. A \(3 \mu \mathrm{F}\)
  2. B \(5 \mu \mathrm{F}\)
  3. C \(6 \mu \mathrm{F}\)
  4. D \(\dfrac{3}{4} \mu \mathrm{F}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3 \mu \mathrm{F}\)

Step-by-step Solution

Detailed explanation

Let M be the intermediate node between the two middle capacitors. Between A and M: top capacitor and left-middle capacitor are in parallel: \(C_{AM} = 3 + 3 = 6\ \mu F\) Between M and B: right-middle capacitor and bottom capacitor are in parallel: \(C_{MB} = 3 + 3 = 6\ \mu F\)…
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