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Consider the triangular voltage waveform v(t) shown in Figure. (a) Express v(t) mathematically (b) Use the...
1- Let's consider an LTI system with an impulse response of where Wo a) Find H(s) and the associa...
1- Let's consider an LTI system with an impulse response of where Wo a) Find H(s) and the associated H(ja) b) For the cases of μ:0.2, 0.5, 1.0, and 2.0 sketch frequency spectra c) What type of filter can this system represent? d) How does the spectrum HI(jw) change as μ increases? Explain? 2- Consider the following waveform f(t) which is a one cycle of a sinusoid for 0 t π in seconds while zero elsewhere (Aperiodic Signal) fit) 10...
2. complex numbers a voltage v(t) is given: v(t)=v1(t)+v2(t)=1 V sin( omega t -45) – 2...
2. complex numbers a voltage v(t) is given: v(t)=v1(t)+v2(t)=1 V sin( omega t -45) – 2 V cos(omega t-60) a)convert the voltages to phasors and sketch a phasor diagram of V1,V2 and V b)reduce the expression of v(t) to the form v(t)=Vm cos(omega*t + fi(its angle)) do u see normaly 3 exercise _? Problem 4. laplace transform of discontinuous function for the function illustrated a) sketch f'(t) b)find la place transform of f'(t)
A triangular waveform voltage (shown below to the right) is applied to the following circuit input...
A triangular waveform voltage (shown below to the right) is
applied to the following circuit input terminals. The circuit’s
value of C is 200 nano-farad and the value of R is 47 kilo-ohm. The
output voltage is measured with a high impedance A-to-D converter.
Recalling that such a passive element circuit is a linear-time
invariant system which can be solved with superposition
principles:
a) Determine eout at time = 1.5 milli-second.
b) Determine the time when there is no current...
Do: Find the Laplace transform, F(s), for each f(t) given below in parts a) and b). Express F(s) polynomials ins w...
Do: Find the Laplace transform, F(s), for each f(t) given below in parts a) and b). Express F(s) polynomials ins where the denominator polynomial, A(s) Le., it has the value "1" (one) Monic Rational Form (MRF). This means that the result is a ratio of polynomials, and the coefficient, a, in the denominator polynomial, A(s) below is a, 1 as a ratio of =s"+a-1s"- + a28 +a1s +a0, is monic as the leading coefficient on the highest power of s....
1. Design problem a. Consider a parallel arrangement of a capacitance C and a resistance R. An external voltage V(t)...
1. Design problem a. Consider a parallel arrangement of a capacitance C and a resistance R. An external voltage V(t)-Vocoswt is applied to the arrangement. Please find the total current. Consider a parallel plate condenser with a lossy dielectric between them. At an angular b. frequency w let the dielectric be characterized by a complex dielectric constant e-E1-E2 The area of the plates is 1m2, the distance between them 1 m. For the applied voltage V(t)-Vocoswt find the current through...
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using convolution integral method. b) Compute g*f () with Laplace transform. o) What are the differences between the results of questions (a)...
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using convolution integral method. b) Compute g*f () with Laplace transform. o) What are the differences between the results of questions (a) and (0) above? d) Find the Laplace transform of the following function: (t 0 to +oo) e dt e) Find the equivalent solution of (d) using MATLAB method) (find 2 methods)
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using...
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co,...
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co, C1, C1, C 2, C2, C3, C3, C4, and C4 for the input voltage vg, if V,-54 V and T-10π us c) Repeat b) for Vo. d) Use the complex coefficients found in c) to estimate the average power delivered to the 250...
(a) Sketch the output waveform Vout(t) of the circuit shown in Figure P3.42(a) when Vin = 9sin1000t V
(a) Sketch the output waveform Vout(t) of the circuit shown in Figure P3.42(a) when Vin = 9sin1000t V. Show the maximum and minimum values on the sketch and the equation for the curves at different time intervals. Assume that the diodes are ideal. (b) Repeat part (a) for the circuit of Figure P3.42(b).
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T)...
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
1. Second order transients Z. Z V (t) Z Z N 2 The switch is in...
1. Second order transients Z. Z V (t) Z Z N 2 The switch is in the left position and moves to the right position at t=r where >0. Let Z, be a resistor, R. Z be a inductor, Ly, 2, be a capacitor, Cr, Z. be a resistor, Rp. 2 be a resistor, Rs. Zo be a capacitor, Co, and the input voltage, vy(t) =uſt) volts. This question is about the voltage across the capacitor: Cg. viz., V.(s), v)....
1- Let's consider an LTI system with an impulse response of where Wo a) Find H(s) and the associated H(ja) b) For the cases of μ:0.2, 0.5, 1.0, and 2.0 sketch frequency spectra c) What type of filter can this system represent? d) How does the spectrum HI(jw) change as μ increases? Explain? 2- Consider the following waveform f(t) which is a one cycle of a sinusoid for 0 t π in seconds while zero elsewhere (Aperiodic Signal) fit) 10...
A triangular waveform voltage (shown below to the right) is
applied to the following circuit input terminals. The circuit’s
value of C is 200 nano-farad and the value of R is 47 kilo-ohm. The
output voltage is measured with a high impedance A-to-D converter.
Recalling that such a passive element circuit is a linear-time
invariant system which can be solved with superposition
principles:
a) Determine eout at time = 1.5 milli-second.
b) Determine the time when there is no current...
Do: Find the Laplace transform, F(s), for each f(t) given below in parts a) and b). Express F(s) polynomials ins where the denominator polynomial, A(s) Le., it has the value "1" (one) Monic Rational Form (MRF). This means that the result is a ratio of polynomials, and the coefficient, a, in the denominator polynomial, A(s) below is a, 1 as a ratio of =s"+a-1s"- + a28 +a1s +a0, is monic as the leading coefficient on the highest power of s....
1. Design problem a. Consider a parallel arrangement of a capacitance C and a resistance R. An external voltage V(t)-Vocoswt is applied to the arrangement. Please find the total current. Consider a parallel plate condenser with a lossy dielectric between them. At an angular b. frequency w let the dielectric be characterized by a complex dielectric constant e-E1-E2 The area of the plates is 1m2, the distance between them 1 m. For the applied voltage V(t)-Vocoswt find the current through...
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using convolution integral method. b) Compute g*f () with Laplace transform. o) What are the differences between the results of questions (a) and (0) above? d) Find the Laplace transform of the following function: (t 0 to +oo) e dt e) Find the equivalent solution of (d) using MATLAB method) (find 2 methods)
Problem 4 Given: St t(t) # -t e g(t) a) Compute fg () using...
Problem 3 The periodic voltage source in the circuit shown in Figure P3 (a) has the waveform shown in Figure P3 (b). a) Derive the expression for Cn b) Find the values of the complex coefficients Co, C1, C1, C 2, C2, C3, C3, C4, and C4 for the input voltage vg, if V,-54 V and T-10π us c) Repeat b) for Vo. d) Use the complex coefficients found in c) to estimate the average power delivered to the 250...
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
1. Second order transients Z. Z V (t) Z Z N 2 The switch is in the left position and moves to the right position at t=r where >0. Let Z, be a resistor, R. Z be a inductor, Ly, 2, be a capacitor, Cr, Z. be a resistor, Rp. 2 be a resistor, Rs. Zo be a capacitor, Co, and the input voltage, vy(t) =uſt) volts. This question is about the voltage across the capacitor: Cg. viz., V.(s), v)....
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