Question #3A resistor, denoted as R,, is added in series with theinductor in the circuit in Fig. 14.4(a). The new low-pass filter circuit is shown in Fig. P14.3.a) Derive the expression for H(s) whereH(s) = V₁/V;-b) At what frequency will the magnitude of H(jw)be maximum?c) What is the maximum value of the magnitudeof H(jw)?d) At what frequency will the magnitude of H(jw)equal its maximum value divided by V2?e) Assume a resistance of 300 is added in serieswith the 50 mH inductor in the circuit inFig. P14.1. Find of, H(0), H(jor), H(j0.2m,),and (5)Solution #6(R/L)++ (144)(R/L)[b][j]-(N/5)(ocens when -My RRBILW = (R+R)/L1200 300eX30,000 rad/s0.05113)24,000H-08K30,000)45° = 0.5651/- 45°v224,0006000)--0.3845/-11.31"24,000H150.000)--0.1560-78.07R

Step 1: Step 2: Step 3: Step 4: Step 5:

Answered: Question #3 A resistor, denoted as R,,…

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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14.37 a) Show (via a qualitative analysis) that the circuit in Fig. P14.37 is a bandreject filter. b) Support the qualitative analysis of (a) by finding the voltage transfer function of the filter. c) Derive the expression for the center frequency of the filter. d) Derive the expressions for the cutoff frequen- cies Wel and Wc2- e) What is the expression for the bandwidth of the filter? f) What is the expression for the quality factor of the circuit? L + V; C www R + Vo
Figure P14.35 1875 Ω Vi b) If vi sion 156.25 mH - 100 nF 5 For the bandreject filter in Fig. P14.35, a) Find H(jw) at wo, wel, wc2, 0.100, and 10w.. 80 cos wt V, write the steady-state expres- for vo when w=wo, w = Wc1, 2, w = 0.1wo, and w = 10wo. @cl, W=Wcz Ve
df bat pdf pdt 10.pdf 11.pdf online 12.pdf week13-14.pdf Pass Fitter For the series RC circuit in Fig. 14.7: a) Find the transfer function between the source voltage and the output voltage. b) Determine an equation for the cutoff frequency in the series RC circuit. e) Choose values for R and C that will yield a low- pass filter with a cutoff frequency of 3 kHz. Solution a) To derive an expression for the transfer function, we first construct the s-domain equivalent of the eirenit in Fis 147 as shown in Fio 148 + 22 Vo Figure 14.7 AA series RC low-pass filter. R V(s) (16) Figure 14.8A The s-domain equivalent for the circuit in Fig. 14.7
14.13 Using a 5 mH inductor, design a high-pass, RL, pas- DESIGH sive filter with a cutoff frequency of 25 krad/s. a) Specify the value of the resistance. PROBLEM PSPICE ULTISIA b) Assume the filter is connected to a pure resistive load. The cutoff frequency is not to drop below 24 krad/s. What is the smallest load resistor that can be connected across the output terminals of the filter?
14.18 For the bandpass filter shown in Fig. P14.18, find (a) wo, (b) fo, (c) Q, (d) wc1, (e) fc1, (f) wc2, (g) fez, and (h) ß. PSPICE MULTISIM Figure P14.18 8 ΚΩ Vi 10 mH с 10 nF Vo
Design a series RLC bandpass filter (see 14.19[a]) with aquality of 2 and a center frequency of 8 kHz, using a 5 nF capacitor.1. a) Draw your circuit, labeling the component values and outputvoltage.2. b) For the filter in part (a), calculate the bandwidth and the valuesof the two cutoff frequencies.
1 14.3 A resistor, denoted as R₁, is added in series with the inductor in the circuit in Fig. 14.4(a). The new low- pass filter circuit is shown in Fig. P14.3. a) Derive the expression for H(s) where H(s) = Vo/V₁. b) At what frequency will the magnitude of H(ja) be maximum? c) What is the maximum value of the magnitude of H(jw)? d) At what frequency will the magnitude of H(jw) equal its maximum value divided by √2? e) Assume a resistance of 300 2 is added in series with the 50 mH inductor in the circuit in Fig. P14.1. Find we, H(j0), H(jw), H(j0.2wc), and H(j5wc). R₁ L + + 1 www {R No
Design a passive RC low pass filter (14.7) with a cutoff frequency of 100 Hz using a 4.7 μF capacitor. 1. a) What is the cutoff frequency in rad/s? 2. b) What is the value of the resistor? 3. c) Draw your circuit, labeling the component values and output voltage. 4. d) What is the transfer function of the filter in part (c)? 5. e) If the filter in part (c) is loaded with a resistor whose value is the same as the resistor part (b), what is the transfer function of this loaded filter? 6. f) What is the cutoff frequency of the loaded filter from part (e)? 7. g) What is the gain in the pass band of the loaded filter from part (e)?
A resistor, Rc, is connected in series with the capacitor in the circuit 14.10(a). The new high-pass filter circuit is shown in P14.16. 1. a) Derive the expression for H(s) where H(s)=Vo/Vi. 2. b) At what frequency will the magnitude of H(jω) be maximum? 3. c) What is the maximum value of the magnitude of H(jω)? 4. d) At what frequency will the magnitude of H(jω) equal its maximum value divided by 2? 5. e) Assume a resistance of 12.5 kΩ is connected in series with the 5 nF capacitor in the circuit . Calculate ωc, H(jωc), H(j0.2ωc), and H(j5ωc).
a. What is the 3dB break point? fg=_ the roll off rate in dB/dec after fg? Roll off=_ the gain of the circuit at low frequency? Gain=_ and is this a high pass or low pass filter? b. What L needs to be used to achieve the same fg using an inductor and please draw a schematic of the filter implemented with an inductor. c. Draw a Plot |H(f)| vs. time.
The following difference equation shows the input-output relationship of a filter: y[n] = 0.5 · y[n – 1] + 0.5 · x[n] a) b) Is this an FIR or IIR filter? Please explain why. Is this a causal filter? Please explain why. Y(ejw) ) Find its frequency response H(ej@) = x(ejw) c) using DTFT. ) Determine the magnitude response H(ej") of the filter. ) Sketch H(ejw)| for w = d) e) 0~m to determine the type of the filter. Is it a low- pass or high-pass filter?
c- State briefly the main conclusions drawn from the results given in Figs. 1 and 2. Time Domain Representation Can Only Seldom Reveal Small Signal Impairments CHANNEL B LON-PASS FILTERED TIME FUNCTION ALTERNATE SAMPLES AFTER FILTER SECONDS Prot. R.S. Pyath Alean endly, trag Fig. 1 Frequency Domain Representation of the Same Signal Reveals More! CH B+ 4BV FS Hz 1040/DIV Fig. 2 5 KHz - el: 2.9 Hi Finany, the

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