Question

A time dependent voltage is v(t) = (6coswt - 8sinwt) V
Find the phasor V that represents v(t)

Answer 1

Answer on Question #53809, Engineering / Electrical Engineering

A time dependent voltage is $v(t) = (6\coswt - 8\sinwt) V$

Find the phasor $V$ that represents $v(t)$

Solution:

Phasors are complex numbers used to represent sinusoidal functions.

For time domain

$$A \cos(\omega t) - B \sin(\omega t)$$

the phasor domain is

$$A + Bj$$

In our case

$$v(t) = 6\cos(\omega t) - 8\sin(\omega t)$$ $$V = 6 + 8j$$

Answer: $V = 6 + 8j$

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