196k views
4 votes
Use phasor techniques to find an expression for i(t) expressed as a single cosine function, where i(t)=[250cos(377t+30∘)−150sin(377t+140∘)] ma

User Ankuj
by
8.2k points

1 Answer

2 votes
Using your favorite vector calculator, you can add
.. 250∠30° -150∠(140°-90°)
to get the sum
.. 120.512∠4.804°

Then i(t) = 120.512cos(377t +4.804°) ma

____
The graph shows the individual currents, their sum, and the cosine function above, demonstrating that this is the solution.
Use phasor techniques to find an expression for i(t) expressed as a single cosine-example-1
Use phasor techniques to find an expression for i(t) expressed as a single cosine-example-2
User Mathilda
by
8.0k points