The equivalent capacitance of the combination shown in the figure is :

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  1. 3C/2
  2. 3C
  3. 2C
  4. C/2

Answer (Detailed Solution Below)

Option 3 : 2C
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Detailed Solution

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CONCEPT:

Here, we use the concept of capacitance in series and parallel.

When capacitance is in parallel it is written as;

Cp = C1 + C2 + ........

The capacitance of the capacitor,

Q = CV

Here, C is the capacitance of the capacitor, Q is the charge and V is the potential applied in the material.

CALCULATION:

In the figure, let us assign points 1, 2, and 3, and at points A and B 

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Now, when we apply voltage to the circuit from A to B, the capacitance from point 1 to point 3 is coming out to be zero, therefore its charge will be zero.

The circuit is coming out,

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Now, using the capacitor in parallel conditions, we have;

CAB = C + C = 2C 

Hence, Option 3) is the correct answer.

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