Find the phasor form of i(t) = 10 cos (10t + 63°) + 15 cos (10t − 42°) A . (Round the final answers to two decimal places and insert ± in the answer field(s), if required.) The phasor form of i(t) = 10 cos (10t + 63°) + 15 cos (10t − 42°) A is ∠ ° A.

Step-by-step explanation:

Phasor Form of Sinusoids

A phasor is a complex number in polar form that can be applied to circuit analysis.

When two or more sinusoidal functions are added or subtracted, we can simplify the calculations by using this notation

Where R is the rms value of the sinusoidal function:

The total current is split into

The phasor of the first current is

With components

The phasor of the second current is

With components

The sum of both phasors is

The magnitude is

The angle is

Corresponding to a resulting phasor