Question

Two ac currents one represented as i1 = 25 sin (314 t + 200) & i2 = 35 sin (314 t + 450). Draw the phasor & show the resultant when they are connected in parallel.​

Answer 1

The resultant of the given circuit is : 59.54∠40∘

Given:

i1 = 25 sin (314 t + 200)

i2 = 35 sin (314 t + 450)
To find : Resultant of the force
Solution:
Phasors are complex likenesses of sinusoidal (consistently cosine) functions accompanying loyal bent frequency, size, and primary point. In energetic architecture, they are used to facilitate revolution reasoning characteristic equations to concerning mathematics equatings.

The size complements to the importance of a complex number, while the time shift complements to the angle of the complex number in consideration of the real point around which something revolves. The phasor rule is built utilizing the complex plane. Using Euler’s rule, cosine functions are convinced to aggressive form. VA∠φ is account for VAejφ.

Lets simplify the equation,

$\sqrt{(45.6)^2 + (38.28)^2} = 59.54\\ \\tan^-1 38.28/45.6 \\= 40$

Therefore we get our resultant as 59.54∠40∘.

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