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HENT FOLDEE A power supply produces a voltage which varies with time. The voltage can be described by the equation: v=6.68 sin (60.0 rad/s x t + 45.0°) where vis the voltage in volts and t is the time in seconds. Determine (a) the frequency in Hz. (b) the phase shift in seconds. (c) the period in seconds. Give all of your answers to 3 decimal places.
or practice) Describe the sinusoidal waveforms shown in the figures, using time-dependen notation: a) (4-44) (part a is for practice) b) (4-44) (rads 2 P3. (4.48) Determine the equivalent impedance in the circuit shown, given that v(t) 636 cos(3,000t +t/12), L=1.90 H C=6.8 nF P4. (4-49) In the circuit shows (for practice). given that is(t) lo cos(wt + π/6). l, 13 mA. 1,000 rad/s, C = 0.5 μF. a) State, using phasor notation, the source current, b) Determine the impedance...
L This LR circuit has time constant, t= and maximum R V current, I Which one of the following best gives an R equation of current after time,t, the switch has been closed? w If If R B) C) zero A) T L V c) 4(1-1) D)'(2-1) OD ОС ОА OB
4. Let T be the time reversal operator. Show that T=U*K where U is the unitary operator and K is the Operator of conjugation . Use the relation TST --S describing time reversed spin operator S to show that T-UK where U = 1 sigmay
4. (a) Consider a continuous-time signal given by j101 f(t)= e ' [u(t) - u(t – 2)] (i) Find the Fourier transform of f(t) using the properties listed in the Appendix on page 6. (ii) If the signal f(t) is sampled in the time domain, what is the Nyquist rate (in Hertz) of f(t)? Comment on your result. (8 Marks)
Leslie Matrix-Calc 2 Question 1) What is the fraction of one-year-olds present at time t that survive to time t+1? 2)What is the average number of female offspring of a two-year-old female? Assume the given Leslie matrix L for a population of female birds. Determine the number of age classes in the population, the fraction of one-year-olds present at time t that survive to time t + 1, and the average number of female offspring of a two-year-old-female. 2 4...
Consider the continous time signal x(t) - u(t) where u(t) is the unit step, sampled at a sampling period Ts- 1/4 to produce a discrete time signal rn] (a) Plot the signal r[n] over an appropriate interval (b) Compute and plot the short term energy for 10 successive blocks using a rectangular window of width 4 (c) Compute and plot the Zero Crossing Rate for 10 successive blocks using a rectangular window of width 4 Consider the continous time signal...
Suppose that the position of one particle at time t is given by y1-2 cost), x,-4 sin(t), ostsZr and the position of a second particle is given by 4 (a) Graph the paths of both particles. We were unable to transcribe this image Suppose that the position of one particle at time t is given by y1-2 cost), x,-4 sin(t), ostsZr and the position of a second particle is given by 4 (a) Graph the paths of both particles.
4. A linear time invariant system has the following impulse response: h(t) =2e-at u(t) Use convolution to find the response y(t) to the following input: x(t) = u(t)-u(t-4) Sketch y(t) for the case when a = 1
Sketch the bellow unit steps in continuous and discrete time . a- x(t) = u(t+1/2) – u(t-3) b. x(t) = u(t+2) – 2u(t-3) + u(t-4) c. x(t) = u(t+3) u(-t) d. x(t) = u(t) u(-t+4) e. x[n] = u[n+4] – u[n-4] f. x[n] = u[n+2] + u[n-2] - 2 u[n-4] g. x[n] = u[n+4] u[-n+4] h. x[n] = u[n] u[-n+4]