Answer:
The question is incomplete.the complete question is giving below
"Determine the sinusoidal time functions corresponding to each of the following phasors: (a) 5<25°V, w = 1000 rad/s (b) - j5 A, f = 100 Hz
answer
a. V(t)=5√(2)sin(1000t+25⁰)v
b. -5√(2)cos200πt A
Explanation:
note that the sinusoidal time function is express as
y(t)=yₙsin(wt+α)
where w is the angular frequency in rad/s, and α is the angle .
a. to represent 5<25°V, w = 1000 rad/s. first we express it in polar form i.e
V(t)=5eⁱ²⁵
in sinusoidal time function we have
V(t)=Vₙsin(wt+α)
Vₙ=5√(2)v, the √(2) convert the amplitude into effective or RMS value
w=1000rad/secs
α=25⁰
Hence if we substitute,we arrive at
V(t)=5sin(1000t+25⁰)v
b. for - j5 A, f = 100 Hz
in polar form we have
i(t)=5eⁱ⁹⁰
and w=2πf=2*π*100=200π
hence we have
i(t)=5√(2)sin(200πt+90)= (-5sin200πt)A
