Question

A sine-wave generator supplies a 500 Hz, 10 V rms signal to a 2 ks2
resistor in series with a 0.1 mF capacitor as shown in Figure 4.
Determine the total impedance Z and current I.
2 ΚΩ
0.1 uF
If
3
10 V, 500 Hz
Figure 4​

Answer 1

The current in te resistive brance is 0.2 A

the current in the capacitive branch is 0.126 A

Total line current is 0.283

Current in both the branches is same

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I r = V rms / r = 20/ 100 = 0.2a

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Xc = 1 / 2 pie fc

= 1 / 2 pie ( 5 × 10 ³ ) ( 1/ pie × 10 )

= 100

I c = 90

I = 2² 2²

= 283 A