Question

01:27:18 MCQ (100) Q16. The combined capacitance of 03 capacitors of rating 1 uF. 2uF & 3uF joined in series is O (A) 0.545 uF O (B) 5.45 uF O (C) 54.5 UF O (D) 545 uf​

Answer 1

Answer: 0.545uF

Explanation:

Let C1 be 1uF, C2 be 2uF, C3 be 3uF.

Equivalent capacitance be Cr.

Please refer to the attachment.

Answer 2

Given info : three capacitors of rating 1 μF , 2 μF and 3 μF joined in series.

To find : the combined capcitance of these capcitors is ..

solution : we know, if C₁ , C₂ and  C₃  capacitors are joined in series then combined capacitance or equivalent cpacitance is given by,

     1/Ceq = 1/C₁ + 1/C₂ + 1/C₃

here, C₁ = 1μF , C₂ = 2μF and C₃ = 3μF

1/Ceq = 1/1μF + 1/2μF + 1/3μF

⇒ 1/Ceq = 11/6μF

⇒ Ceq = 6/11 μF = 0.545 μF

therefore the combined capacitance of three given capacitors  is 0.545μF.

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