Consider the circuit shown below. R₂ ww (a) Derive an expression for the transfer function, Ã‚ (s) =ỹ (s)/V¡ (s). (b) Using the transfer function found in part (a), derive an expression for the low- frequency gain, A₂(LF) · (c) Using circuit analysis, derive an expression for the low-frequency gain, A(LF) · A₁ (s) = + (d) Using the transfer function found in part (a), derive an expression for the high- frequency gain, A(HF). (e) Using circuit analysis, derive an expression for the high-frequency gain, A(HF). (f) Express A, (s) in the following form. Find an expression for a₁, b₁, etc. Ã₁ (s) = - + +a₁s+a a2s² b₂s²+b₁s+b (g) Using the transfer function expression given in part (f), express Ã (s) in the following form. Derive an expression for A(mid), @o, and Q in terms of, a₁, b₁, etc. __ (Av(mid)/Q)(s/w₁) (s/w)² + (1/Q)(s/w)+1 (h) Using the transfer function expression given in part (g), derive an expression for the gain at resonance, Ã, (s = j…).

Consider the circuit shown below. R₂ ww (a) Derive an expression for the transfer function, Ã‚ (s) =ỹ (s)/V¡ (s). (b) Using the transfer function found in part (a), derive an expression for the low- frequency gain, A₂(LF) · (c) Using circuit analysis, derive an expression for the low-frequency gain, A(LF) · A₁ (s) = + (d) Using the transfer function found in part (a), derive an expression for the high- frequency gain, A(HF). (e) Using circuit analysis, derive an expression for the high-frequency gain, A(HF). (f) Express A, (s) in the following form. Find an expression for a₁, b₁, etc. Ã₁ (s) = - + +a₁s+a a2s² b₂s²+b₁s+b (g) Using the transfer function expression given in part (f), express Ã (s) in the following form. Derive an expression for A(mid), @o, and Q in terms of, a₁, b₁, etc. __ (Av(mid)/Q)(s/w₁) (s/w)² + (1/Q)(s/w)+1 (h) Using the transfer function expression given in part (g), derive an expression for the gain at resonance, Ã, (s = j…).

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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Similar questions

Which of the five circuit elements are more effective when it comes to maximizing the gain-bandwidth product? Explain why.
In the circuit shown in the figure, Vcc = 12 V, Vin = 10 mV, β = 100, r0 = 40 kΩ, RB = 360 kΩ, RC = 3.3 kΩ, RE = 220 Ω, Rs = 0.5 kΩ and RL = 7.1 kΩ . Accordingly, find the voltage gain (Vout/Vin) of the circuit. NOTE-1: The output impedance of the transistor r0 will be taken into account in the calculations.NOTE-2: Capacitors are negligible at midband frequency.
Solutions to the questions are optional. a.) What is the value of the high frequency cut-off fH, (this corresponds to the 3-dB point in the magnitude plot of V(out) above the center frequency)?____________________________ b.) What is the value of the low frequency cut-off fL, (this corresponds to the 3-dB point in the magnitude plot of V(out) below the center frequency)? ____________________________ Refer to the circuit below:
(a) Design a low-pass amplifier (i.e., choose R1,R2, and C) to have a low-frequency input resistanceof 10 k ohm, a midband gain of 20 dB, and abandwidth of 20 kHz. (b) Choose element valuesfrom the table.
(a) Define bandwidth of an amplifier and provide explanation using a diagram. (b) A circuit has no lower cut-off frequency but has an upper cut-off frequency of 100 MHz. What is its bandwidth?
"A common emiiter amplifier (Fixed Bias) is currently under test to determine its bandwidth in the unloaded case. In the bandpass region ,the amplifier's voltage gain, input impedance, and output impedance are measured to be 32dB, of 100k Ohms, and 3k Ohms, respectively. The designer used input and output coupling capcitors with values of 1uF and 100uF, respectively. The amplifier circuit's PCB layout was properly designed, thus minimizing the wiring capacitances. The device capcitances are measured as follows: C_BE = 1pF, C_BC = 8pF, and C_CE = 1pF. Assuming a voltage source resistance of 50 Ohms, determine the higher cutoff frequency due to the output circuit." 53.05MHz 5.77MHz 3.18MHz 9.72MHz
A common emiiter amplifier (Fixed Bias) is currently under test to determine its bandwidth in the unloaded case. In the bandpass region ,the amplifier's voltage gain, input impedance, and output impedance are measured to be 32dB, of 100k Ohms, and 3k Ohms, respectively. The designer used input and output coupling capcitors with values of 1uF and 100uF, respectively. The amplifier circuit's PCB layout was properly designed, thus minimizing the wiring capacitances. The device capcitances are measured as follows: CBE = 1pF, CBC = 8pF, and CCE = 1pF. Assuming a voltage source resistance of 50 Ohms, determine the higher cutoff frequency due to the input circuit
A common emiiter amplifier (Fixed Bias) is currently under test to determine its bandwidth in the unloaded case. In the bandpass region ,the amplifier's voltage gain, input impedance, and output impedance are measured to be 32dB, of 100k Ohms, and 3k Ohms, respectively. The designer used input and output coupling capcitors with values of 1uF and 100uF, respectively. The amplifier circuit's PCB layout was properly designed, thus minimizing the wiring capacitances. The device capcitances are measured as follows: C_BE = 1pF, C_BC = 8pF, and C_CE = 1pF. Assuming a voltage source resistance of 50 OhmsDetermine the higher cutoff frequency due to the output circuit
a) from the rootlocus fig , Write the open loop transfer function of the system,b) What is the value of K for critical damped response?c) What is the range of K for stable closed-loop system?d) Determine damping ratio and ( Wn ) of the closed loop system for K=10.e) Sketch the approximate graph of the Bode magnitude of the transfer function (use K=100).
In the circuit diagram shown, if V_BE = 0.7 V, what is the value of the input resistance R_in (base) at mid frequencies?( NEED only handwritten solution please otherwise downvote)
Consider a system with a stable loop transfer function L(s). If the gain|L(iω)| is less than 1 (0 dB) whenever the phase ∠L(iω) crosses −180◦, then the closed-loop system is stable. Answer ture or fasle with explanation. If the Nyquist plot of the loop gain L(s) encircles −1, then the closed-loop system is unstable. Answer ture or fasle with explanation.
In the circuit in the figure, Vcc = 18 V and RL = 2.2 kΩ, while C1 = C2 = CE = 0.1 μF. It is also known that for parasitic and wiring capacitors, Cwi = 15 pF, Cwo = 21 pF, Cbc = 27 pF, Cbe = 887 pF and Cce = 25 pF. Accordingly, what is the bandwidth of the system? NOTE-1: The output impedance of the transistor r0 will be neglected in the calculations. NOTE-2: The high frequency dependence of hfe, β, will be neglected.