Given the sinuosidal voltage vt 50 cos30t10o v find a the

Question

Questions -

Problem 1 - Given the sinuosidal voltage v(t) = 50 cos(30t+10^o) V, find: (a) the amplitude V_m (b) the period T, (c) the frequency f and (d) v(t) at t = 10 ms.

Problem 2 - A current source in a linear circuit has - i_s = 15 cos(25πt + 25^o) A

(a) What is the amplitude of the current?

(b) What is the angular frequency?

(c) Find the frequency of the current.

(d) Calculate i_s at t = 2 ms.

Problem 3 - Express the following functions in cosine form:

(a) 10 sin(ωt + 30^o)

(b) -9sin(8t)

(c) -20sin(ωt + 45^o))

Problem 4 - Given v₁ = 45 sin(ωt + 30^o) V and v₂ = 50 cos(ωt - 30^o V), determine the phase angle between the two sinusoids and which one lags the other.