Question

See Fig 565, may not be drawn to scale, but it is representative of the curve, which is described by V(t)-Vm*sin(w*t+theta) Vshift Given V1-14, V2--16, V4-8.500 volts, and t3-7.8 msec Find Vm (volts), w (rad/sec), theta (deg), Vshift, and t4 (msec). ans:5

Answer 1

(i) v_m Rightarrow maximum or peak voltage form the wave form V_max = V_m = v_1 = 14 V (ii) w Rightarrow angular frequency of the wave form w = 2 pi/T (T = time period for each cycle) t_3 = 2 T rightarrow from wave form t_3/2 = T Rightarrow 7 . 8 m s/2 Rightarrow 3 . 9 m s w = 2 pi/3 . 9 times 10^- 3 rad/sec w = 1611 . 07 rad/sec \ r \ n (iii) theta is the phase shift, the given wave form is cosine wave form, but we need to express in sine, The phase shift ' theta ' b/w cosine and sine is 90 degree Therefore = 90 = theta