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A 60 muF capacitor is connected to a 110...

A `60 muF` capacitor is connected to a 110V, 60 Hz ac supply. Determine the rms value of the current in the circuit.

Text Solution

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`X_(C) = ( 1)/( omega C )`
` = ( 1)/( 2pi f C )`
` = ( 1)/( 2 xx 3.14 xx 60 xx 60 xx 10^(-6))`
`= 44.23 Omega`
`I_(rms) = ( V_(rms))/( |Z|)`
`= (V_(rms))/( X_(C)) ( :. `Here, `|Z| = X_(C )`)
`= (110)/( 44.23)`
`= 2.487 A`
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