Convert the following complex number from polar form to rectangular form: 40 V 2120°
A) 20 + j34.6V
B) -80 - j34.6V
C) 80 + j34.6V
D) -20 + j34.6V

Question

Quizplus · Accepted Answer

To convert from polar to rectangular form, use the formulas: x = r * cos(θ) and y = r * sin(θ). Here, r = 40 and θ = 212°. Converting 212° to radians gives approximately 3.70 radians. Calculating, x = 40 * cos(212°) ≈ -20 and y = 40 * sin(212°) ≈ 34.6. Thus, the rectangular form is -20 + j34.6V.

Convert the Following Complex Number from Polar Form to Rectangular