Two circuits connected in parallel take alternating currents which can be expressed trigonometrically as ₁=13sin314t amperes and i2=12sin(314t+π/4) amperes. Sketch the waveforms of these currents to illustrate maximum values and phase relationships. By means of a phasor diagram drawn to scale, determine the resultant of these currents, and express it in trigonometric form. Give also the rms value and the frequency of the resultant current.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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can you doing this with detail explaination..thank you!

Two circuits connected in parallel take alternating currents which can be expressed
trigonometrically as ₁-13sin314t amperes and 2-12sin(314t+1/4) amperes. Sketch the waveforms
of these currents to illustrate maximum values and phase relationships. By means of a phasor
diagram drawn to scale, determine the resultant of these currents, and express it in trigonometric
form. Give also the rms value and the frequency of the resultant current.
(23.1sin(314t+21.55⁰)A,
rms=16.33 A, 50Hz)
Transcribed Image Text:Two circuits connected in parallel take alternating currents which can be expressed trigonometrically as ₁-13sin314t amperes and 2-12sin(314t+1/4) amperes. Sketch the waveforms of these currents to illustrate maximum values and phase relationships. By means of a phasor diagram drawn to scale, determine the resultant of these currents, and express it in trigonometric form. Give also the rms value and the frequency of the resultant current. (23.1sin(314t+21.55⁰)A, rms=16.33 A, 50Hz)
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