I need help with part A3 please :) . A3) Simulate the circuit with the above values and obtain the plotsfor VF, VC, VR and I of the circuit. Obtain the plots using the samereference system so that the phase difference between the plotscan be observed.Vff=4 kHzR=1kΩC=10 nFFigure 1. Measurement circuit #1.XORC A1) Analyze the circuit in Figure 1, consider R = 10 KQ and C= 10 nF. Obtain themathematical equation for the equivalent impedance seen by the generator as a functionof frequency. By voltage division obtain the mathematical relationship for the voltageacross the capacitor and resistor as a function of VF and frequency. Perform all the circuitanalysis (voltages, impedances, currents, waveforms).Equivalent impedance,Zeq = R + jaC = 10³ + jx8000xx10x10-⁹⁹Zeq1000 -j3978. 87,=Voltage across resistor,10001000-j3978.87 X V₁,RVR = Zea⇒ VR =10001000-j3978.871+j3.97816.831⇒ VR =1+j3.978⇒ VR =16.831V₁ = VR + VC,⇒ Vc = V₁ - VR.⇒ Vc = Vj -⇒ Vc =⇒ Vc =Current, I =108> /2xX5\x Vf,X1+j3.97816.831x V₁,16.831-1-j3.97816.83115.831-13.97816,831VCZea|XC| = R₁⇒ | jx2xxxc| = R₁|jx2xfx10x10-⁹|= 1000,=1000+j3978.871000+j3978.87X V₁.X Vf,A2) For the conditions of the previous point, deduce the value of the frequency that meets|XC| = R.x V₁,V₁1000-J3978.87= 1000,10⁰⇒ f =2000⇒ f = 1.57 x 105 Hzx Vf,= 157079.63 Hz

The capacitor is an important passive component of electrical energy which is used in electrical…

A3) Simulate the circuit with the above values and obtain the plots for VF, VC, VR and I of the circuit. Obtain the plots using the same reference system so that the phase difference between the plots can be observed. vf f=4 kHz R=1kΩ ww C=10 nF Figure 1. Measurement circuit #1. ORC

A3) Simulate the circuit with the above values and obtain the plots for VF, VC, VR and I of the circuit. Obtain the plots using the same reference system so that the phase difference between the plots can be observed. vf f=4 kHz R=1kΩ ww C=10 nF Figure 1. Measurement circuit #1. ORC

Introductory Circuit Analysis (13th Edition)

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ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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I need help with part A3 please :)

A3) Simulate the circuit with the above values and obtain the plots
for VF, VC, VR and I of the circuit. Obtain the plots using the same
reference system so that the phase difference between the plots
can be observed.
Vf
f=4 kHz
R=1kΩ
C=10 nF
Figure 1. Measurement circuit #1.
X
ORC

A1) Analyze the circuit in Figure 1, consider R = 10 KQ and C= 10 nF. Obtain the
mathematical equation for the equivalent impedance seen by the generator as a function
of frequency. By voltage division obtain the mathematical relationship for the voltage
across the capacitor and resistor as a function of VF and frequency. Perform all the circuit
analysis (voltages, impedances, currents, waveforms).
Equivalent impedance,
Zeq = R + jaC = 10³ + jx8000xx10x10-⁹⁹
Zeq
1000 -j3978. 87,
=
Voltage across resistor,
1000
1000-j3978.87 X V₁,
R
VR = Zea
⇒ VR =
1000
1000-j3978.87
1+j3.978
16.831
⇒ VR =
1+j3.978
⇒ VR =
16.831
V₁ = VR + VC,
⇒ Vc = V₁ - VR.
⇒ Vc = Vj -
⇒ Vc =
⇒ Vc =
Current, I =
108
> /2xX5\
x Vf,
X
1+j3.978
16.831
x V₁,
16.831-1-j3.978
16.831
15.831-13.978
16,831
VC
Zea
|XC| = R₁
⇒ | jx2xxxc| = R₁
|jx2xfx10x10-⁹|
= 1000,
=
1000+j3978.87
1000+j3978.87
X V₁.
X Vf,
A2) For the conditions of the previous point, deduce the value of the frequency that meets
|XC| = R.
x V₁,
V₁
1000-J3978.87
= 1000,
10⁰
⇒ f =
2000
⇒ f = 1.57 x 105 Hz
x Vf,
= 157079.63 Hz

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