1. Given a signal x(t) as shown below 0 1 2 3 4 a. sketch the signal, x(-t + 3). b. Find the power of a sinusoid: C cos (@,t+ 0)

QI: Connect the block diagram shown below. If A=1, trace on the oscilloscope the step function, Vol and Vo2. What is the steady state error? Verify that the function et and are L.T pairs. Vol Vo2

Problem 1.3 (Sinusoids and Exponentials) All signals are defined for -o < t < 00 (a) Sketch the sinusoid xa(t) = 2 cos(10rt + t/6). What is its fundamental period? (b) Repeat part (a) but for the sinusoid xb(t) = 5 sin(19rt – n/3). (c) What is the fundamental period of x.(t) = Xa(t) + xb(t)? HINT: It is not the fundamental period of Xa(t) nor xá(t). (d) Sketch the exponential xa(t) = e-l/5, What is its time constant? (e) Sketch the signal xe(t) = Xa(t)Xa(t). -

a. For the circuit shown below: 20 2 1 mH ll R Vs (*) 100cos(2001) V 25 mF the following LTspice netlist can be used to determine the magnitude and phase angle of the steady-state ĀC part of v: Vs 3 2 AC 100 0 R 3 0 20 L0 1 1m C 1 2 25m .AC DEC 1 31.83098861 31.83098861 Run the simulation and identify the desired results in the output file. b. Use the phasor analysis method to determine the analytical solution, and verify that the LTspice result is correct.