Consider the functions E 1 3 cos Iuml t and E 2 4 sin Iuml t First prove that E 2 4 cos ( Iuml t Iuml 2) Then, using phasors and referring to Fig P 7 10, show that E 3 E 1 E 2 5 cos ( Iuml t Iuml ) determine Iuml Discuss the values of E 3 wherever either E 1 0 or E 2 0 Does E 3 lead or lag E 1 Expl...

E 3 cos wt 30 0 E 4 sin oot but sin ...

Consider the functions E 1 = 3 cos Ït and E 2 = 4 sin Ït. First

Question:

Consider the functions E₁= 3 cos Ï‰t and E₂= 4 sin Ï‰t. First prove that E₂= 4 cos (Ï‰t - Ï€/2). Then, using phasors and referring to Fig. P.7.10, show that E₃= E₁+ E₂= 5 cos (Ï‰t - Ï†); determine Ï†. Discuss the values of E₃wherever either E₁= 0 or E₂= 0. Does E₃lead or lag E₁? Explain.

Fig. P.7.10

320 2т wt Зп -1 п 42-/2 wt -2 -4 5 5L-9 wt 12т -3 -5 3. 3. 4) 3.