The full–wave rectified sine wave shown in Figure 13–4 has an rms value of A=

ffiffiffi p2. What fraction of the average power that the waveform delivers to a resistor is carried by the first two nonzero terms in its Fourier series?

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Waveform Constant (dc) A Cosine wave fit) Fourier Coefficients Waveform Fourier Coefficients Sawtooth wave fir) 4 = A a=0 all n b=0 all %=0 all n b=- all n To Triangular wave Kt) 4 0 9=0 -To- a = A -To- nodd 4 01 -A ba=0 all n (x) %=0 b=0 even Sine wave f(r) AL-To- AM Square wave K(1) A Q=0 a=0 all b = A b=0n 1 4 =0 4-0 all n To- b = nodd b=0 neven Rectangular pulse fin To A 1777 AT an=sin(x) b=0 all Half-wave rectified sine wave a = fit) 2A/x vn A-T- Full-wave rectified sine wave ww Parabolic wave %=0 b=0 1-2 =0 odd b = =1 b=0 1 %=2A/x 4A/x 1-2 neven odd %=0 =0 all n 32A b = nodd (x) b=0 neven