Question
Download Solution PDFA capacitor of 90 μF is connected across a 230 V, 50 Hz single-phase supply. Calculate rms value of the current.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 2):(6.5 A)
Concept:
The reactance of a capacitor is given by:
XC = \(1\over 2\times π\times f\times C\)
where
XC = reactance
f = supply frequency
C = capacitance
R.M.S. value of capacitor current is given by:
\(I_{rms}= {V_{rms} \over X_C}\)
Calculation:
Given
C = 90 μF
f = 50 Hz
Vrms = 230 V
XC = \(1\over 2\times π\times f\times C\)
= \(1\over 2\times π\times50 \times 90 \times 10 ^{ -6}\)
= 35.36 Ω
\(I_{rms}= {V_{rms} \over X_C}\)
= \(230 \over 35.36\)
= 6.5 A
Last updated on Jun 16, 2025
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