Question

Complete the phase relationship between the voltage

v(t) = 170 sin (353t+ (70°)) and current
i(t) = 19 cos (353t+(-80°)).
i(t) leads v(t) by θ
Determine θ in degrees (positive or negative angle):

Answer 1

The voltage v(t) leads the current i(t) by a phase angle of 150° in the given scenario.

Step-by-step explanation:

In order to determine the phase relationship between the voltage v(t) = 170 sin (353t+ (70°)) and the current i(t) = 19 cos (353t+(-80°)), we need to compare the angles of the two functions.

In this case, the voltage leads the current, which means the current lags behind the voltage. To calculate the phase difference, subtract the angle of the current from the angle of the voltage: θ = (70°) - (-80°) = 150°.

Therefore, the voltage v(t) leads the current i(t) by a phase angle of 150°.