Correct Answer - Option 3 : (33 + j6) V
Concept:
Conversion from polar to rectangular,
Rectangular form: a + jb
Polar form: \(\sqrt {{a^2} + {b^2}} \angle {\tan ^{ - 1}}\left( {\frac{b}{a}} \right)\)
Conversion from rectangular to polar,
Polar form: V∠θ
Rectangular form: V cos θ + j V sin θ
Calculation:
Given V1 = 25∠0° V and V2 = 10∠36.87° V
In rectangular form it is equal to
V1 = 25 cos 0 + j25 sin 0
V1 = 25 V
V2 = 10 cos 36.87 + j10 sin 36.87
V2 = 10(0.8) + j10(0.6)
V2 = 8 + j6
Vs = V1 + V2
Vs = 33 + j6 V