Question

Find the Fourier series expansion of a half-wave rectified sine wave depicted below

f(t) л Д. о 2;

Answer 1

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bia [-1-03 - Co-o)] Sintra Sin 2 - Sino Cog 28= 210g2g-1 0920 - 1-29ino For First Hormonic *a 2 / ing Vm sin ut cosust al- Dina osb = sin(a+5) + sin(a+b)] Q T l [sinswot teno] dit d Multiples ob 2T Meang icycle for 2 For When no even an 2 12 vm Singh (ognugt de T IT Sin it cos nit 2 / b' ( sin [na]t + 3in (17-no]+ ]dt T ll (sin (1+ni] + 9 in C-n]t] dt *** *L* - Cos [] Trian] 11 [.; [i+n] odon] al pla cos [rangat (in) an : [- E-.--)] + 5*nn) T TEAM [-(-1)] 4 2 Rothen sinnwattan Cosr . Cos n wot) mwort] tn an 2 | -

Fita not an cosnwoltbn sinn oot FHI sit sin itt & 2 Cosnil l-nr In only For Even 2,4,6 Fitla 1 Sinot - 2/3 -2 sugalit - 2 cosulit. 15