Chapter 26, Problem 17P

The input voltage in Fig. 26.36(a) to the circuit in Fig. 26.36(b) is a full-wave rectified signal having the following Fourier series expansion:

$\text{e = }\frac{\text{(2) (100V)}}{\text{π}}\text{(1+}\frac{\text{2}}{\text{3}}\text{cos 2ωt - }\frac{\text{2}}{\text{15}}\text{cos 4ωt + }\frac{\text{2}}{\text{53}}\text{cos 6ωt +}\mathrm{....}\text{)}$

a. Find the Fourier series expression for the voltage U_o using only the first three terms of the expression.

b. Find the rms value of U_o.

c. Find the average power delivered to the 1 k $\Omega$ resistor.