The maximum value of a sinusoidal current in a circuit is 30 A. What is the instantaneous current at 30°?

Question

Question

This question was previously asked in

PGCIL DT Electrical 5 May 2023 Official Paper

Answer 1

Concept:

Sinusoidal time varying signal is generally represented in the standard form as

i(t) = Im sin(ωt).

Where Im = maximum current or peak value of current.

i(t) = instantaneous current at any time.

ω = angular frequency.

t = time.

Calculations:

Given Im = 30 A.

Given ωt = 30°

Instantaneous current = 30 sin( 30° )

Instantaneous current at 30° = 30 × 0.5 = 15 Amps.