Design and Simulate the circuit in figure 1 using Multisim software and get the following parameters Current in circuit I =…………………………mA Voltage across R8 ER =…………………………V Voltage across C2 EC =…………………………V Power dissipated P =…………………………mW Objective1. To understand the characteristics of a RC series network in ac circuit.2. To understand the capacitive reactance, impedance, and phase angle.Theory of operationWhen an ac voltage is applied across a pure resistance, the resultant current is inphase with the applied voltage. Resistance therefore has no phase angle associatedwith it and impedance of resistor is simply written as R<0°. When an ac voltage isapplied across a pure capacitor, the resultant current leads the voltage by 90°.Capacitance therefore has a phase angle associated with it. The opposition that acapacitor offers to the flow of alternating current is called capacitive reactance Xc andthe impedance of a capacitor is written as Zc = Xc< -90°, or -jXc. The magnitude of Xc isXc = 1/(2TfC) = 1/wC. It implies, the impedance of capacitor is,An RC series circuit with an ac supply voltage is shown below circuit. The impedance ofthis circuit can be expressed asZT = ZR + Zc = R<0° + Xc<-90°The current in the circuit isZc = = < (-90°)jwCWCI= E/ZTThe voltage across R isVR = I. ZRThe voltage across C isVc= I. ZcBy Kirchchoff's voltage law, thenEV = E-VR-Vc=0 EA9Vrms50Hz0°R12kQFigure 1: RC CircuitC1=47μF

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Answered: Design and Simulate the circuit in…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Design and Simulate the circuit in figure 1 using Multisim software and get the following parameters
 Current in circuit I =…………………………mA
 Voltage across R8 ER =…………………………V
 Voltage across C2 EC =…………………………V
 Power dissipated P =…………………………mW

Objective
1. To understand the characteristics of a RC series network in ac circuit.
2. To understand the capacitive reactance, impedance, and phase angle.
Theory of operation
When an ac voltage is applied across a pure resistance, the resultant current is in
phase with the applied voltage. Resistance therefore has no phase angle associated
with it and impedance of resistor is simply written as R<0°. When an ac voltage is
applied across a pure capacitor, the resultant current leads the voltage by 90°.
Capacitance therefore has a phase angle associated with it. The opposition that a
capacitor offers to the flow of alternating current is called capacitive reactance Xc and
the impedance of a capacitor is written as Zc = Xc< -90°, or -jXc. The magnitude of Xc is
Xc = 1/(2TfC) = 1/wC. It implies, the impedance of capacitor is,
An RC series circuit with an ac supply voltage is shown below circuit. The impedance of
this circuit can be expressed as
ZT = ZR + Zc = R<0° + Xc<-90°
The current in the circuit is
Zc = = < (-90°)
jwC
WC
I= E/ZT
The voltage across R is
VR = I. ZR
The voltage across C is
Vc= I. Zc
By Kirchchoff's voltage law, then
EV = E-VR-Vc=0

EA
9Vrms
50Hz
0°
R1
2kQ
Figure 1: RC Circuit
C1
=47μF

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Calculate the following values using circuit analysis with detailed steps of calculation.

Reactance of C2 Xc = …………..Ω
Total Impedance ZT = …………..Ω
Current in circuit I =……………mA
Voltage across R8 ER =……………V
Voltage across C2 EC =……………V
Power dissipated P =……………W
Total reactive power in the circuit Q =……………VAr
Apparent power delivered by source S =…………….VA

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Observe the following waveforms using oscilloscope
 Source voltage and source current waveforms
 Voltage across resistor
 Voltage across capacitor

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