The following waveforms are measured through a particular device: LaTeX: v(t)= 20\cos(100t+50^{\circ})Vv ( t ) = 20 cos ⁡ ( 100 t + 50 ∘ ) V LaTeX: i(t)=15\cos(100t-5^\circ)Ai ( t ) = 15 cos ⁡ ( 100 t − 5 ∘ ) A What is the power angle? Submit your answer in degrees, while omitting the unit.

Explanation:

There are a couples of ways of solving this problem.

Let's start with the easiest one which is using the following rule:

The angle of the impedance is equal to the power angle and also both of them are equal to the angle between the voltage and current. Therefore:

This problem can be solved too using Phasors:

A voltage expressed in a cosinusoidal form and with a positive sign can be directly converted into a phasor. This is done by indicating the voltage and the phase shift angle:

Hence:

Electric power is defined as:

So, the power angle is:

answer: report them

explanation: