1.

A 50 mu F capacitor is connected to a 100 V, 50 Hz a.c. supply. Determine the rms value of the current in the circuit.

Answer»

Solution :Here `C = 50 mu F = 50 xx 10^(-6)F = 5 xx 10^(-5)F`
`E_(RMS) = 100 V`
v = 50 Hz
STEP 1 : Capacitive reactance,
`X_(C) = (1)/(C omega) = (1)/(C xx 2pi v)`
`X_(C) = (1)/(5 xx 10^(-5) xx 2 xx 3.14 xx 50) = 63.69 Omega`
Step 2 : `I_(rms) = (E_(rms))/(X_(C)) = (100)/(63.69) = 1.57 A`


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