Question

what is the instantaneous output of a generator at 20 electrical degree if its output is 170 volt at 90 electrical degree​

Answer 1

Q -> What is the instantaneous output of a generator at 20° if its output is 170 volts at 90°.

1. 30 V
2. 58.1 V
3. 24.3 V
4. 42.6 V

solution : we know, the output of an AC power source is sinusoidal and it carries with time as given below, $v(t)=v_{max}sin\Phi$

where v(t) is instantaneous output, $v_{max}$ is the maximum output.

here it is clear that instantaneous output is directly proportional to sine of its phase.

i.e., v₁/v₂ = sinΦ₁/sinΦ₂

⇒v₁/170 = sin20°/sin90°

⇒v₁ = 170°sin20°/1 = 170sin20° ≈ 58.1 V

Therefore the instantaneous output of a generator at 20° is 58.1 V