Determine the Fourier series expressions for the periodic voltage functions for the full wave rectified sine...
16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig. P16.2(a) illustrates the square wave; Fig. P16.2(b) illustrates the full-wave rectified sine wave, where u(t)-Yn sin(π/T), 0 t s T; and Fig. P16.2(c) illustrates the half-wave rectified sine wave, where Figure P16.2 v(t) 2T 3T rt v(0) 2T 3T v(t) nt T/2 T 3T/2 16.2 Find the Fourier series expressions for the periodic voltage functions shown in Fig. P16.2. Note that Fig....
Find the Fourier series expansion of a half-wave rectified sine wave depicted below f(t) л Д. о 2; Answer: 2 cos 2t 2 2 cos 4tet 15 - cos 67t +.. 35
Problem 1. Find the Fourier series expansion of a half-wave rectified sine wave depicted below. AS(0) Answer: f(t) = 1+sin at cos2nt 1 nr 15 2 Cos 4t -cost + ... 35 Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. Angle sum formulas for sine / cosine functions f(x) sin(A + B) = sin A cos B + cos A sin B sin(A...
Consider a half-wave rectified sine wave with a peak voltage of 100 V. It can be shown (GENT 3123) that the complex Fourier series coefficients are: 100 G-j25 n 13, t5, 7 C,- 100 2, P2 ,n 4, 6, a) Evaluate Dn , n-0, 「, 2 , 3, 4 for the polar Fourier series b) Evaluate φ, , n = 0, 1, 2 , 3, 4 for the polar Fourier series c) How many decibels (dB) is the second harmonic...
3. Derive the following formula for the complex Fourier Series rep- resentation of a full wave rectified sine wave of unit amplitude. Remember that the period of the rectified signal is half of that of the sine wave +00 2π
Find the rms value of the full wave rectified sine wave in figure below. Calculate the average power dissipated in a 612 resistor. v(t) T 2x 3r
According to the Fourier series, a periodic sine wave has (select one): (a) The fundamental frequency only (b) Even Harmonic waveforms (c) Odd Harmonic Waveforms Consider the previous problem again. What is the bandwidth associated with it? Answer: According to the Fourier series, a periodic square wave has (select one): (a) The fundamental frequency only (b) Even Harmonic waveforms (c) Odd Harmonic Waveforms Consider the previous problem again. What is the bandwidth associated with it? 21. According to the Fourier...
12. A series RC circuit is driven by a periodic square wave voltage V(t) with a period T=0.3 sec. V(t)0 for t<0. After t=0, the voltage alternates between 15 V and 0 V. Assume that R-40 , C-150 HF. We will call the voltage across the capacitor and the resistor Ve(t and Vr(t) respectively (a) Calculate the current I(t) in the circuit, the voltage Vc(t), and the power delivered by the driving source as a function of time for the...
Page 3 of 3 (5) The periodic square-wave voltage seen in Fig. 5a is applied to the circuit shown in Fig. 5b. (a) Determine the Fourier series of the periodic square-wave in Fig.5a. (b) Derive the steady-state voltage voC) as a response to the first two nonzero terms in the Fourier series that represents the v,) (20 points) v(t) 10% H 102 0 123 t (sec) -2 1 Fig. 5a Fig. 5b
3.12. Determine the exponential Fourier series for the following periodic signals: sin 2t + sin 3t (a) x(t) = 2 sint (b) x(t)-Σ δ(t-kT) k-00