Two capacitance C1 = 150 ± 2.4 μF and C2 = 120 ± 1.5 μF. What is the limiting error of the resultant capacitance C?

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WBPSC JE Electrical 2018 (Held on 18th Feb 2018) Official Paper
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  1. 0.9 μF
  2. 1.9 μF
  3. 3.9 μF
  4. 4.8 μF

Answer (Detailed Solution Below)

Option 3 : 3.9 μF
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Detailed Solution

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The correct answer is option 3): 3.9 μF

Concept:

when two capacitors C1, C2, connected in parallel.The resultant capacitance C is

C = C1 +C2 F

The limiting error of the resultant capacitance is the sum of individual capacitance limiting error

Calculation:

Given 

C1 = 150 ± 2.4 μF

C2 = 120 ± 1.5 μF.

The Two capacitors are connected in parallel so the resultant capacitance

C = C1 + C2

150 ± 2.4 μF + 120 ± 1.5 μF.

= 270 ± 3.9  μF.

The limiting error of the resultant capacitance is the sum of individual capacitance limiting error

​The limiting error =  3.9  μF.

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