What is the total capacitance in the given circuit?

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  1. 7 F
  2. 13 F
  3. 4.3 F
  4. 16 F

Answer (Detailed Solution Below)

Option 2 : 13 F
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Detailed Solution

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Concept:

When capacitors are connected in parallel, the total capacitance is the sum of the individual capacitors' capacitances.

When capacitors are connected in series, the total capacitance is less than the least capacitance connected in series.

Calculation:

For the two 6 F capacitors connected in parallel, the resultant capacitance will be:

Cnet = 6 + 6 = 12 F

Also, the two 2F capacitors connected in series connection will be equivalent to a single capacitor of value:

Cnet = 2/2 = 1 F

The resultant circuit is drawn as:

Since the 1 F and 12 F capacitors are connected in parallel, the net capacitance will be:

Cnet = 1 + 12 = 13 F

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