a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit? b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have? c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor? d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipe
a. In an RC circuit supplied with AC power, a 500 ohm resistor is used to create a system with a crossover frequency wc =440 rad/s. What capacitance is the capacitor in this circuit?
b. If an inductor is to be added to this circuit to make the resonant frequency equal to the crossover frequency, then what inductance must this inductor have?
c. If, near a particular time t1, the instantaneous voltage drop over the resistor is given by v(t1)=0.65V cos(440t), then what is i(t1) (the function of instantaneous current with respect to time) for its capacitor?
d. What would the Irms value be based on the sinusoidal function you found in part c? (Pick off Ipeak from the function, then plug in to rms equation)
Since this is multi-part, answers to later parts will be graded based on your answers to previous parts when necessary.
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For a i got 0.8 micro farads
for b i got 0.2H
for c i got 1.3mAsin400t
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