Question

Complete the phase relationship between the voltage v(t) = 128sin(358t+(155∘)) and current i(t) = 12cos(358t+(−25∘)).

(t) leads v(t) by θ Determine θ in degrees (positive or negative angle)

Answer 1

The current leads the voltage by 90° or π/2 radians.

Step-by-step explanation:

The given voltage and current functions can be written in the form:

v(t) = 128sin(358t + 155°)

i(t) = 12cos(358t - 25°)

We can see that the voltage function has a phase angle of 155° and the current function has a phase angle of -25°. To determine the phase relationship between the voltage and current, we need to find the phase difference between them.

Since the current function is a cosine function, it leads the voltage function by an angle of 90° or π/2 radians. Therefore, the phase relationship between the voltage and current is that the current leads the voltage by 90° or π/2 radians.