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

(All capacitances are in μF range)

F1 Madhuri Engineering 19.12.2022 D22

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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:
F1 Madhuri Engineering 19.12.2022 D22
Simplify dotted section:
 
F1 Madhuri Engineering 19.12.2022 D23
 
(10× 10)/(10+10) = 5 μF
F1 Madhuri Engineering 19.12.2022 D24
 
{(5+5) = 10 μF
F1 Madhuri Engineering 19.12.2022 D25
 
(10 × 10)/(10+10) = 5 μF
F1 Madhuri Engineering 19.12.2022 D26
 
(10 + 5) = 15 μF
F3 Madhuri Engineering 28.12.2022 D1 V2
 
(10 × 15)/(10+15) = 6 μF
 
F4 Madhuri Engineering 28.12.2022 D2
Ceq = 10 + 6 = 16 μF
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