Derive an expression H(ω) in the form of H(ω) = (A + j B) / (C + j D), wherein A, B, C and D are functions of R1, R2, L, and C.
Homework Answers
Problem R: Find the voltage across the resistor 90 A Po1972 Volts B. 1,"--23.67 Volts C....
Problem R: Find the voltage across the resistor 90 A Po1972 Volts B. 1,"--23.67 Volts C. IS)--27.61 Volts D P31.56 Volts E Fo-35.50 Volts 2Ω Volts Problem 9: Determine the binary inputs a, b and c that will cause the output y A. a-0,bom1 B. a=0,b-1,c=1 C. a= 1, b = 0, c-o D. a= 1, b=0, c = 1 E. a= 1, b=1,c=0 Problem 10: Determine the value of R1 and R2 that will cause Vout22.5 14.4 cos(100t) R1...
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l...
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l and H(jo) vs. frequency (o) in the form of a Bode plot indicating the damping frequency and the value of |H(jo)| at the damping frequency. Also determine the 3dB frequency and the roll off rate for Ir(ja)1 when ω > ω3dB. Vounlius R 470Ω C 100 nF Figure...
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the tra...
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the transfer functionH(s)0 in erms of R, Ri and C. (b) At what frequency will the magnitude of Hju) be maximum? Write down the maxi- mum value (c) At what frequency w will the magnitude of H(jw) equal its maximum value divided by V2 (the half power)? (d) Derive the expression for the phase e(ju) both...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L 2 H, and C = 0.5 F, where vs(t) is given by the waveform displayed in the same figure 1 V (a) Determine the s-domain current I(so) at so-0.05 jo.07 (rad/s): IL(So)- Submit Answer Tries 0/3 (b) Determine the t-domain current i(to) at to 4.5 (s): Submit Answer Tries 0/8 Q4. Determine the output voltage in the circuit as shown below, given that Vs-35*u(t)...
Consider the RL circuit in the diagram, where R1-110 Ω,R2 220 Ω,L = 25 H, and E = 350 V The switc...
Consider the RL circuit in the diagram, where R1-110 Ω,R2 220 Ω,L = 25 H, and E = 350 V The switch is closed at t 0 s 4. [5pt] Find the energy stored in the inductor at the following times i5.0 ms (i.e., a long time after the switch has been closed) [ans. 0 J, 59.9 mJ, 126.5 J] Question to be Graded Manually 5. [5pt] For the same circuit, find the potential difference across R1 at the following...
For the above circuit, E1 = 3.57 V, E2 = 5.79 V. r1 = 0.591 Ω, r2 = 0.781 Ω, R1 = 41.3 Ω, R2 = 65...
For the above circuit, E1 = 3.57 V, E2 = 5.79 V.
r1 = 0.591 Ω, r2 = 0.781 Ω, R1 = 41.3 Ω, R2 = 65.1 Ω, R3 = 73.3
Ω.
a)Which equation would describe Kirchhoff's Junction Law at the
right junction?
A I1 - I2 = I3
B I1 + I2 = I3
C I1 + I3 = I2
D I1 = I2 + I3
b)Which equation would describe Kirchhoff's Loop Law for the
lower half-loop?
A E2...
out Given R-14Q, L-135μΗ, C-40μF. a). Derive the expression for the magnitude component of system frequency...
out Given R-14Q, L-135μΗ, C-40μF. a). Derive the expression for the magnitude component of system frequency response |H(f)l in terms of frequency f. In your answer please use 'pi' to represent π, and DO NOT evaluate it numerically: Ω help (formulas). b). Derive the expression for phase component of system frequency response please use 'pi' to represent π, and DO NOT evaluate it numerically: OH() in terms of frequencyf. In your answer help (formulas). c). Calculate the half-power frequency(ies) of...
Derive the transfer function of the circuit in Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the form Vo Vi = −R2/R1...
Derive the transfer function of the circuit in
Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the
form
Vo Vi = −R2/R1 [1+(ω1/jω)][1+j(ω/ω2)] whereω1=1/C1R1
andω2=1/C2R2.Assumingthatthecircuit is designed such that ω2 ω1,
find approximate expressions
for the transfer function in the following frequency regions: (a)
ωω1 (b) ω1 ωω2 (c) ωω2
Vo
FigureP2.93
Use these approximations to sketch a Bode plot for the magnitude
response. Observe that the circuit performs as an amplifier whose
gain rolls off at the low-frequency end in the manner of a
high-pass...
Derive the impedance (i.e. Z = a + b j) for R1+[C1//(C2+R2+C3)] circuit where C2, R2,...
Derive the impedance (i.e. Z = a + b j) for R1+[C1//(C2+R2+C3)] circuit where C2, R2, and C3 are in series, and C1 is parallel with (C2+R2+C3), and finally R1 is in series with [C1//(C2+R2+C3)].
In the figure, ε = 119 V, R1 = 10.7 Ω, R2 = 23.8 Ω, R3...
In the figure, ε = 119 V, R1 = 10.7 Ω,
R2 = 23.8 Ω, R3 = 26.2 Ω,
and L = 2.70H. Immediately after switch S is closed, what
are (a) i1 and
(b) i2? (Let currents in the
indicated directions have positive values and currents in the
opposite directions have negative values.) A long time later, what
are (c) i1 and
(d) i2? The switch is then
reopened. Just then, what are (e)
i1 and (f)
i2? A...
Problem R: Find the voltage across the resistor 90 A Po1972 Volts B. 1,"--23.67 Volts C. IS)--27.61 Volts D P31.56 Volts E Fo-35.50 Volts 2Ω Volts Problem 9: Determine the binary inputs a, b and c that will cause the output y A. a-0,bom1 B. a=0,b-1,c=1 C. a= 1, b = 0, c-o D. a= 1, b=0, c = 1 E. a= 1, b=1,c=0 Problem 10: Determine the value of R1 and R2 that will cause Vout22.5 14.4 cos(100t) R1...
Pre-Laboratory Task 4: Derive an expression for the magnitude of the transfer function, H(Go)Vout(jo)/Wn(j, and the phase of the transfer function LH (ja) for the LCR circuit in Figure 4. Plot H(ja)l and H(jo) vs. frequency (o) in the form of a Bode plot indicating the damping frequency and the value of |H(jo)| at the damping frequency. Also determine the 3dB frequency and the roll off rate for Ir(ja)1 when ω > ω3dB. Vounlius R 470Ω C 100 nF Figure...
2. Given the following circuit RL Do where C = inF, L = 1 mH and R1 = į00kf2. (a) Derive the expression for the transfer functionH(s)0 in erms of R, Ri and C. (b) At what frequency will the magnitude of Hju) be maximum? Write down the maxi- mum value (c) At what frequency w will the magnitude of H(jw) equal its maximum value divided by V2 (the half power)? (d) Derive the expression for the phase e(ju) both...
Q3. In the circuit as shown below, given that R1 = 4 Ω, R2-4 Ω, L 2 H, and C = 0.5 F, where vs(t) is given by the waveform displayed in the same figure 1 V (a) Determine the s-domain current I(so) at so-0.05 jo.07 (rad/s): IL(So)- Submit Answer Tries 0/3 (b) Determine the t-domain current i(to) at to 4.5 (s): Submit Answer Tries 0/8 Q4. Determine the output voltage in the circuit as shown below, given that Vs-35*u(t)...
Consider the RL circuit in the diagram, where R1-110 Ω,R2 220 Ω,L = 25 H, and E = 350 V The switch is closed at t 0 s 4. [5pt] Find the energy stored in the inductor at the following times i5.0 ms (i.e., a long time after the switch has been closed) [ans. 0 J, 59.9 mJ, 126.5 J] Question to be Graded Manually 5. [5pt] For the same circuit, find the potential difference across R1 at the following...
For the above circuit, E1 = 3.57 V, E2 = 5.79 V.
r1 = 0.591 Ω, r2 = 0.781 Ω, R1 = 41.3 Ω, R2 = 65.1 Ω, R3 = 73.3
Ω.
a)Which equation would describe Kirchhoff's Junction Law at the
right junction?
A I1 - I2 = I3
B I1 + I2 = I3
C I1 + I3 = I2
D I1 = I2 + I3
b)Which equation would describe Kirchhoff's Loop Law for the
lower half-loop?
A E2...
out Given R-14Q, L-135μΗ, C-40μF. a). Derive the expression for the magnitude component of system frequency response |H(f)l in terms of frequency f. In your answer please use 'pi' to represent π, and DO NOT evaluate it numerically: Ω help (formulas). b). Derive the expression for phase component of system frequency response please use 'pi' to represent π, and DO NOT evaluate it numerically: OH() in terms of frequencyf. In your answer help (formulas). c). Calculate the half-power frequency(ies) of...
Derive the transfer function of the circuit in
Fig.P2.93(foranidealopamp)andshowthatitcanbewritten in the
form
Vo Vi = −R2/R1 [1+(ω1/jω)][1+j(ω/ω2)] whereω1=1/C1R1
andω2=1/C2R2.Assumingthatthecircuit is designed such that ω2 ω1,
find approximate expressions
for the transfer function in the following frequency regions: (a)
ωω1 (b) ω1 ωω2 (c) ωω2
Vo
FigureP2.93
Use these approximations to sketch a Bode plot for the magnitude
response. Observe that the circuit performs as an amplifier whose
gain rolls off at the low-frequency end in the manner of a
high-pass...
In the figure, ε = 119 V, R1 = 10.7 Ω,
R2 = 23.8 Ω, R3 = 26.2 Ω,
and L = 2.70H. Immediately after switch S is closed, what
are (a) i1 and
(b) i2? (Let currents in the
indicated directions have positive values and currents in the
opposite directions have negative values.) A long time later, what
are (c) i1 and
(d) i2? The switch is then
reopened. Just then, what are (e)
i1 and (f)
i2? A...
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