The equivalent capacitance of the network shown in the figure will be:

(All capacitances are in μF range)

This question was previously asked in
KVS TGT WET (Work Experience Teacher) 23 Dec 2018 Official Paper
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  1. 15 μF
  2. 17 μF
  3. 16 μF
  4. 18 μF

Answer (Detailed Solution Below)

Option 3 : 16 μF
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Detailed Solution

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Concept:
Equivalent Capacitance:
The equivalent capacitance represents the combination of all capacitance values in a given circuit and can be found by summing all individual capacitances in the circuit based on the relationships between these capacitors. In particular, we can have capacitors in parallel or in series.
Let;
C1,C2......Cn capacitors are connected in;
 
Series Connection → 1/Ceq = 1/C1 + 1/C2 + ....... + 1/Cn
Parallel Connection → Ceq = C1+C2 + ......+Cn
Calculation:
Simplify dotted section:
 
 
(10× 10)/(10+10) = 5 μF
 
{(5+5) = 10 μF
 
(10 × 10)/(10+10) = 5 μF
 
(10 + 5) = 15 μF
 
(10 × 15)/(10+15) = 6 μF
 
Ceq = 10 + 6 = 16 μF
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