Question

In the circuit below the oscillator outputs a voltage of 3 Vome at a frequency of 1 KHz into a series combination of a 2000 Ohm resistor and an 80 nF capacitor. Calculate the output voltage that appears across the capacitor, and calculate the phase relationship between this voltage and the input voltage. Show a phasor diagram for these voltages and indicate which voltage is ahead in phase of the other Circuits of this type have a name - what is it? Sketch out the Bode plot for circuits of this type. What would be a typical use for this circuit? Does this circuit also integrate or differentiate the signal? 20002 SonF 3 Vans 1 kita

Answer 1

Vout - Output voltage aeross capacitar Vout Vout - yout 2 Vin - Ze + R re- Imperdence of the capacitor = swe Here j = imaginaryno w = angular frequency of the signal e= Capacitance value B = Resistance JWe . Vout - we . Vinter Considering the values / Magnétudes), it swek It sweR wa lout yout 1 - JF + (wer? -

Here, How W- 2nfort 10 SPEIX#2] e so nf = 80x10 F R = 2000 t Potting all the values in eq (0 1.4179 20.705 ... Noutl= 0.705 in) 3 01705x 3 Varme [Vin = 3 Voma] = 2.1156 Vrms Phase relationship from ega (), Vout L i _ (i- jwer) Vin + JWCR 1+ WER) phase port has nothing to do with amplitudes, it only depends on imaginary and real port, Phase -- tan" (wer) tas' ( 211x 10 x 80x10" x2000) -- tan'' (1.005) Phasos aleagam: - : -45.159 vc Voltaje across Rive is ahead of ve V, Voltage aeross capacitance VR = Voltage aeross R. 45-15

Circuits of this type are named as Low pass filter. Bode plot & This is a graphical behaves with frequeney. representation of how a system Magnitude o - 20 W. ER o lowo Magnitude in de frequency frequency le vel Vout = 20 logie (Wout • 20 logio Tit where This is the required. Bode plot. Uses : This is used where we need to deal to with low frequencies Loudspeakers, Electric guitars are good Examples cireuit. This circuit is also termed as integrator "The Output is integrating form of input.
all the prpblems are solved, for any difficulty, do comment.