two 4uf capacitors in series is equal to___
a. 8uF b. 4uF
c.2 uF d.6uF
Answers
Answer:
c. 2 μF
Explanation:
1/Cs = 1/C₁ + 1/C₂
= 1/4 + 1/4
= 2/4
= 1/2
Cs = 2μF
The value of net capacitance of two 4uf capacitors in series is 2uf (option c).
Given:
The two 4uf capacitors are in series.
To Find:
The value of net capacitance of two 4uf capacitors in series.
Solution:
We are required to find the value of net capacitance of two 4uf capacitors in series.
Net capacitance in series connection is given as
For n capacitors,
1/Ceff = 1/C₁+1/C₂+......+1/Cₙ
For 2 capacitors
1/Ceff = 1/C₁+1/C₂ ------(1)
C₁ = C₂ = 4uf
Both the capacitors have the same capacitance.
Substitute the values of C₁ and C₂ in equation(1)
1/Ceff = 1/4+1/4
1/Ceff = 2/4
Ceff = 4/2
Ceff = 2uf
Therefore, The value of net capacitance of two 4uf capacitors in series is 2uf (option c).
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