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- Find the effective value of the function v = 100 + 50 sin ωt.It is given that v(t)=20 sin π|t|V over the interval –1≤t≤1 s. Thefunction then repeats itself. Does the function have half-wave symmetry?It is given that v(t)=20 sin π|t|V over the interval –1≤t≤1 s. Thefunction then repeats itself. What is the fundamental frequency in radians per second?
- For a third order system, how many terms will the transient response have? a. 3 b. cannot be determined c. 1 d. 2Define periodic & non-periodic signal. Show whether the following signals areperiodic or not by basic principle.(i) A sin(ωt),(ii) (ii)e−at (a > 0) &(iii) x t =cos t ;t < 0sin t ;t ≥ 0Write an expression for the output voltage for the circuit as shown if υ1 = 0.5 sin 2000πt, and υ2 is generated by the circuit as shown with υ3 = 0.5 sin 10,000πt? Assume VCC = −VEE = 10 V, IEE = 500 μA, R1 = R3 = 2 kΩ, and R = 10 kΩ.
- A continuous time signal is given as x(t)=[sin(pi/4)+jcos(pi/4)]20. Using De Moivre's theorem, find out the value of the signal x(t).ii) Sketch the following periodic signal: x(t) = A over the period t=0 to t=1 sec, x(t) = 0 over the period t=1 to t=2 sec. and state its mean value.solve the following Amplitude (A), period (T), and frequency (f) using the measurement shown in the picture: 1. Amplitude = (V/DIV) DIV = 2. period (T) = (T/DIV) DIV = 3. frequency= 1/T=
- For each of the following signals:a) x(t)=4 Cos(5πt)b) x(t)= 4 Cos (5πt-π/4)c) x[n]= 4 cos(πn-2)d) x[n]= 2 sin(3n)Analytically, determine whether these signals are periodic (if periodic, state theperiod) or non- periodic and also sketch the signals.a) i) Sketch (with full labelling) an example of each of a random, energy, power signals. ii) Sketch the following periodic signal: x(t) = A over the period t=0 to t=1 sec, x(t) = 0 over the period t=1 to t=2 sec. and state its mean value.An L-R-C series circuit has R = 60.0 Ω, L = 0.800 H, and C = 3.00 x 10-4 F. The ac source has voltage amplitude 90.0 V and angular frequency 120 rad/s. (a) What is the maximum energy stored in the inductor? (b) When the energy stored in the inductor is a maximum, how much energy is stored in the capacitor? (c) What is the maximum energy stored in the capacitor?