Question

Determine the phase angles by which u(t) leads i(t), where

u1(t)=4sin(377t+43º)V
i1(t)=0.05cos(377t−23º)A

Answer 1

The phase angle by which u(t) leads i(t) is 66º.

Step-by-step explanation:

To determine the phase angles by which u(t) leads i(t), we need to find the phase difference between the two signals. We can do this by comparing the angles of the two signals.

For u₁(t) = 4sin(377t+43º), the signal leads with a phase angle of 43º.

For i₁(t) = 0.05cos(377t−23º), the signal lags with a phase angle of -23º.

The phase difference between the two signals is the difference between their phase angles: 43º - (-23º) = 66º.