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three capacitors each of capacitance C microfarad are connected in series. An exactly similar set is connected in parallel to first one. The effective capacity of combination becomes 8 μF. The value of C in microfarad is
6
9
12
18
Answers
Answer:
answer the value of C microfarad is 6
Given : three capacitors each of capacitance C microfarad are connected in series. An exactly similar set is connected in parallel to first one.
The effective capacity of combination becomes 8 μF.
To Find : The value of C in microfarad
6
9
12
18
Solution:
three capacitors each of capacitance C microfarad are connected in series
1st set Equivalent capacitance C₁
1/C₁ = 1/C + 1/C + 1/C
=> 1/ C₁ = 3/C
=> C₁ = C/3
An exactly similar set =
2ns set Equivalent capacitance C₂ = C/3
C₁ and C₂ connected in parallel
C eff= C₁ + C₂
=> C eff= C/3 + C/3
=> C eff = 2C/3
The effective capacity of combination becomes 8 μF
2C/3 = 8
=> C = 12
The value of C in microfarad is 12
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