Question

Practice Problem 5 Consider a triangle wave voltage with peak-to-peak amplitude of 16 V and a dc offset of 4 V; the rising and falling slopes have equal magnitudes - Find the average power absorbed by a 50 ohm resistor supporting this voltage in terms of its Fourier components. Use up to the 15th harmonic in your answer. Answer: 0.747 W PT: 6min

Answer 1

From the question we are asked to consider a triangle . Wave voltage with peak - to - peak amplitude of 16 v and also a d c affect of 4 v Here we have to make sure that the rising and falling slopes have Equal magnitudes . Let us draw a triangular wave form So now let us find the Fourier series for the given triangular wave form . i . e V = = 4 + sigma (- 1)^n - 1/2 8/pi^r n^2 (8 sin n w t) So now let us find the V_r m s value for the harmonies of the given triangular wave form . \r\n We now that the D C voltage to be taken as 4 v V_d c = 4 Now we have to find the odd harmonics of the v_r m s values . V_1 r m s = 1/root 2 8/pi^r n^r (8 sin w t) n = 1 = 1/root 8/pi