Question

R2 L2 400 100mHV V1 C2 500Hz 0° Figure 3. AC voltage source in series with a resistor and capacitor Simulate this circuit in transient analysis mode and measure the voltage indicated by the probe Determine the sinusoidal steady-state amplitude [V] and frequency [Hz and rad/sec] of the capacitor voltage indicated by the probe

Answer 1

Blue one is input voltage and black is voltage across capacitor Under steady state 2 j times L = j 2 pi f L = j 2 times pi times 500 times 100 times 10^- 3 = j 314.159 j X_c = -j/2 pi f c = -j/2 times pi times 500 times 10^- 6 = -j 318.30 From the voltage devide rule v_c = v_infinity - j X_c/e + j X_L - j X_c = (- j 318.30)/40 + j 314.159 - j 318.30 = 7.915/squareroot 2 - 84.089 Therefore maximal value = 7.915 volts Frequency = 500 Hz
blue one is input voltage and black is voltage across capacitor

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