Rankers Physics
Topic: Capacitors
Subtopic: Combination of Capacitors

The equivalent capacitance of the combination shown in figure is : Image related to
C
2C
3/2
C/2

Solution:

 

Reason for the Short Circuit:

The middle capacitor is bypassed by a conducting wire (short circuit). Hence, no voltage difference exists across the middle capacitor, and it can be ignored in the calculation.


Simplified Circuit:

  1. The circuit reduces to two capacitors CC at the top and bottom in parallel.
  2. For capacitors in parallel, the equivalent capacitance is simply the sum of their capacitances: Ceq=C+C=2CC_{\text{eq}} = C + C = 2C

Final Answer:

The equivalent capacitance of the given combination is 2C.

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