In the circuit shown in Figure P6.6, whereC = 0.5 µF and R= 2 k2,a. Determine how the input impedanceV, Ja)Z jw) = LU)2 behaves at extremely high and low1,Jw)frequencies.b. Find an expression for the impedance.c. Show that this expression can be manipulated intothe form Z( jo) = R[1+jkc]•aRCd. Determine the frequency @ = wc for which theimaginary part of the expression in part c is equalto 1.e. Estimate (without computing it) the magnitudeand phase angle of Z(j@) at w = 10 rad/s and w= 10° rad/s.I;(j@)V;(j@)ER

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Answered: In the circuit shown in Figure P6.6,…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Sketch the magnitude of the transfer function H( f )= V out / V in to scale versus frequency for the circuit shown in Figure P6.30. What is the value of the half-power frequency? [Hint: Start by finding the Thévenin equivalent circuit seen by the capacitance.]
Consider the circuit shown in Figure P6.23.Determine the resonance frequency and the bandwidthfor the circuit.
Tuned Circuit Design Using a VARICAP (a) Refer to the capacitance curves for the Motorola 1N4002 The input tuning circuit of a standard analog FM radio is given below. Specify, that is design for, a voltage, capacitance, and inductance required to tune the circuit to the center frequency of KUMD-FM which operates at 103.3 MHz. Sketching and labeling a representative resonance curve is required to support your calculations. There is no single correct design answer set of values since it depends upon the voltage you initially select to tune your diode.
Q4. A series circuit comprises an inductor, of resistance 10 Q and inductance 159 pH, and a variable capacitor connected to a 50 mV sinusoidal supply of frequency 1 MHz. What value of capacitance will result in resonant conditions and what will then be the current? For what values of capacitance will the current at this frequency be reduced to 10 per cent of its value at resonance?
In the filter circuit shown in Figure P6.32, derive the equation for the voltage frequency response function in standard form. Then if- Rs = 500Ω RL = 5 kΩωr = 12.1278 Mrad/s C = 68 nF L = 0.1 μH determine the half-power frequencies, bandwidth,and Q. Plot H( jω).
Using an example of your choice, identify the conditions needed for mechanical resonance and measures that can be taken to prevent this from occurring.
Determine an expression for the circuit of FigureP6.54(a) for the equivalent impedance in standardform. Choose the Bode plot from Figure P6.54(b) thatbest describes the behavior of the impedance as a function of frequency, and describe (a simple one-linestatement with no analysis is sufficient) how youwould obtain the resonant and cutoff frequencies andthe magnitude of the impedance where it is constantover some frequency range. Label the Bode plot toindicate which feature you are discussing.
What is frequency? Explain the concept of frequency.
What do the cutoff frequency, resonance frequency, bandwidth mean in a filter design? Write importance of these in briefly.
What is the transfer function of a filter? Describe how the transfer function of a filter can be determined using laboratory methods.
A resistor, an inductor, and a capacitor are connected in parallel to an ac source with voltage amplitude V and angular frequency v. Let the source voltage be given by v = Vcosvt. (a) Show that each of the instantaneous voltages vR, vL, and vC at any instant is equal to v and that i = iR + iL + iC, where i is the current through the source and iR, iL, and iC are the currents through the resistor, inductor, and capacitor, respectively. (b) What are the phases of iR, iL, and iC with respect to v? Use current phasors to represent i, iR, iL, and iC. In a phasor diagram, show the phases of these four currents with respect to v. (c) Use the phasor diagram of part (b) to show that the current amplitude I for the current i through the source is I = √(I2R) + (IC - IL)2 . (d) Show that the result of part (c) can be written as I = V/Z, with 1/Z = √ (1/R2) + [ωC - (1/ωL)]2.
What is the use of phase cross over frequency? How will you find it?

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