If the rms value of the voltage of the waveform shown below is p q V , then what is the value of p + q ? ( p and q are the smallest positive integers.)

Step-by-step solution

V rms 2 = 1 T ∫ 0 T V 2 dt = 2 T ∫ 0 T 2 V 2 dt T = 2 sec, V = 2t 0 ≤ t ≤ 1 V rms 2 = 2 T ∫ 0 1 4 t 2 dt = ∫ 0 1 4 t 2 dt = 4 t 3 3 ] 0 1 = 4 3 V rms = 4 3 V