An electric field phasor of length 2300 V/m makes an angle of $\omega t = 30 ^ { \circ }$ relative to the x axis. What is the instantaneous value of the electric field?
A) 2000 V/m
B) 1200 V/m
C) 1300 V/m
D) 2300 V/m

Question

Quizplus · Accepted Answer

The instantaneous value of the electric field can be found by projecting the phasor onto the x-axis, which involves multiplying its magnitude by the cosine of the angle it makes with the x-axis. Thus, $E = 2300 \cos(30^\circ) = 2300 \times \sqrt{3}/2 \approx 2000$ V/m.

An Electric Field Phasor of Length 2300 V/m Makes an Angle