A capacitor of 90 μF is connected across a 230 V, 50 Hz single-phase supply. Calculate rms value of the current.

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SSC JE Electrical 15 Nov 2022 Shift 2 Official Paper
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  1. 4.3 A
  2. 6.5 A
  3. 1 A
  4. Zero

Answer (Detailed Solution Below)

Option 2 : 6.5 A
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Detailed Solution

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The correct answer is option 2):(6.5 A)

Concept:

The reactance of a capacitor is given by:

XC

where

XC = reactance

f = supply frequency

C = capacitance

R.M.S. value of capacitor current is given by:

Calculation:

Given

C = 90 μF

f =   50 Hz 

Vrms = 230 V

XC

= 35.36 Ω 

= 6.5 A

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