please show sulution with steps 5.13. Obtain the Fourier series expansion of the periodic function F()...
Find a Fourier series expansion of the periodic function f(t) = π - 2t, 0 ≤ t ≤ π f(t) = f(t +π) Select one:
Find a Fourier series expansion of the periodic function 0 -T -asts 2 - f(t) = 6 cost T <<- 2 2 0 I SISE 2 f(t) = f (t +21) Select one: a f(t)= 12 12 5 (-1)** cos nt 1 2n-1 b. f(t) = 12.12 F(-1)** cos 2nt T 4n-1 C 6 12 =+ 125 (-1) C05 211 472-1 6 12 (-1) * cosm d
Find a Fourier series expansion of the periodic function -TT 0 -Asts 2 f(t)=272 cost ests 2 0 - SISA 2 f(t) = f (t +27)
Please show all steps with clear hand writing
3. Consider the periodic function defined by sin(x) 0<x< f(r) = and f(x) = f(x + 27). (a) Sketch f(x) on the interval-3r < r 〈 3T. etch fx on the interva (b) Find the complex Fourier series of f(x) and obtain from it the regular Fourier series.
3. Consider the periodic function defined by sin(x) 0
Find a Fourier series expansion of the periodic function 0 - - SIS 2 - -SIS 2 f(0) = 5 cost 0 SIST 2 (1)-f(t+2) Select one: a $(t)=10(-1) cosm 4r - 1 1. f(t)= 3.10,- (-1) COS --- 211-1 10 10 (-1) + cos2nt f(1) = -2 411-1 f( d $ 10,- (-1) cos2 IT
Find a Fourier series expansion of the periodic function 0 - Sts- 2 f(t) = 4x2 cost VI VI st 2 0 .sta 2 f(t)= f (t+2A) Select one: 1 (-1)** cos 2n a. f (0) = 87 +87 4n2 -1 12 12 * (-1) "*l cosnt b. f(t) 2n-1 =+ 7 77 c. f(t) 6 12 - (-1)' cosnt 2n-1 =1 00 d. f(t) = 4A+87 .(-1) "* cos ant 4n2-1
Find a Fourier series expansion of the periodic function f(t)=3t, - a SIST f(t)= f (t +27) Select one: $(t) = { $(+1)" sin nat пл b. f(t)=30(-1)" sin nt 71 11-1 c f(t) = 6(-1)" sin nat 1=1 HTT N! d. f(t)= 6(-1) sin 1
Please show all workings out. Many thanks for your help.
(a) Find Fourier expansion of an asymmetric square wave function f(t) given as 3π 2 < t < 2π 0< t< f(t) = 2 where f(t)-f(t+2T) (b) The saw tooth wave function fft) is defined as 3t 2 f(t) - (b1) Show that its Fourier expansion is n sin(nt 3 (b2) From the result b1 above show that 3 5 7 4
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 amplitude-phase form of the Fourier series of the time function below by hand. Show your work and box your answer. f(t)=-2t for -0.5<t<0 and f(t)=2t for 0<t<0.5. f(t) is periodic with period T=1.