(a) The voltage v across a load and the current i into the positive-polarity terminal are as follows (where wi andws) are not equal : v(t) = Vo + v2Vi cos(wit) + V2V1 sin(wit) + V2V3 cos (wzt) i(t) = Io + V21, cos(wit) + v213 cos(wzt – 03) V A Calculate the following: i. the average power P supplied to the load ii. the rms value of v(t) and i(t) iii. the power factor at which the load is operating

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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(a) The voltage v across a load and the current i into the positive-polarity terminal are as
follows (where wi andws) are not equal :
v(t) = Vo + v2Vi cos(wit) + V2V1 sin(wit) + V2V3 cos (wzt)
i(t) = Io + V21, cos(wit) + v213 cos(wzt – 03)
V
A
Calculate the following:
i. the average power P supplied to the load
ii. the rms value of v(t) and i(t)
iii. the power factor at which the load is operating
Transcribed Image Text:(a) The voltage v across a load and the current i into the positive-polarity terminal are as follows (where wi andws) are not equal : v(t) = Vo + v2Vi cos(wit) + V2V1 sin(wit) + V2V3 cos (wzt) i(t) = Io + V21, cos(wit) + v213 cos(wzt – 03) V A Calculate the following: i. the average power P supplied to the load ii. the rms value of v(t) and i(t) iii. the power factor at which the load is operating
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