Question

The signal shown below will contain the following non-zero trigonometric Fourier series coefficients

• A. $a_0,a_n,n=1,3,5...$
• B. $a_0,a_n,n=1,2,3...$
• C. $a_0,b_n,n=1,3,5...$
• D. $a_0,a_n,b_n,n=1,3,\mathrm{5...}$

Answer 1

The correct option is A $a_0,a_n,n=1,3,5...$

$a_0=\frac{\frac{1}{2}\times 2\times 1}{2}=\frac{1}{2}$

As the given signal is even signal $a_n$ exist but $b_n=0$
As the given signal is half wave symmetric, it does not contain even harmonics.

$\therefore a_{n}existforn=1,3,5,\mathrm{7....}$