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A voltage v(t) is applied across a single- phase load and the load draws the current i(t). The applied voltage and the drawn current are represented by following expressions: v(t)=10+230√2sin(wt)+50√2sin(3wt-30°) V i(t)=4+10√2sin(wt-30°)+5√2sin(3wt-60°) A 1) Determine the rms voltage and rms current. a)215.46 V and 13.24 A b)235.58 V and 11.87 A c)113.34 V and 10.23 A d) 226.89 V and 12.45 A 2.Determine the active power. a) 2300 W b) 2248.36 W c)6745.08 W d)2187.43 W 3. Find the displacement factor. a) 0.866 lead b)0.866 lag c) 0.5 lag d)

A voltage v(t) is applied across a single- phase load and the load draws the current i(t). The applied voltage and the drawn current are represented by following expressions: v(t)=10+230√2sin(wt)+50√2sin(3wt-30°) V i(t)=4+10√2sin(wt-30°)+5√2sin(3wt-60°) A 1) Determine the rms voltage and rms current. a)215.46 V and 13.24 A b)235.58 V and 11.87 A c)113.34 V and 10.23 A d) 226.89 V and 12.45 A 2.Determine the active power. a) 2300 W b) 2248.36 W c)6745.08 W d)2187.43 W 3. Find the displacement factor. a) 0.866 lead b)0.866 lag c) 0.5 lag d)

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter7: Alternating Current, Power Distribution, And Voltage Systems
Section: Chapter Questions
Problem 22RQ
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A voltage v(t) is applied across a single- phase load and the load draws the current i(t). The applied voltage and the drawn current are represented by following expressions: v(t)=10+230√2sin(wt)+50√2sin(3wt-30°) V i(t)=4+10√2sin(wt-30°)+5√2sin(3wt-60°) A 1) Determine the rms voltage and rms current. a)215.46 V and 13.24 A b)235.58 V and 11.87 A c)113.34 V and 10.23 A d) 226.89 V and 12.45 A 2.Determine the active power. a) 2300 W b) 2248.36 W c)6745.08 W d)2187.43 W 3. Find the displacement factor. a) 0.866 lead b)0.866 lag c) 0.5 lag d) 0.5 lead
Transcribed Image Text:A voltage v(t) is applied across a single- phase load and the load draws the current i(t). The applied voltage and the drawn current are represented by following expressions: v(t)=10+230√2sin(wt)+50√2sin(3wt-30°) V i(t)=4+10√2sin(wt-30°)+5√2sin(3wt-60°) A 1) Determine the rms voltage and rms current. a)215.46 V and 13.24 A b)235.58 V and 11.87 A c)113.34 V and 10.23 A d) 226.89 V and 12.45 A 2.Determine the active power. a) 2300 W b) 2248.36 W c)6745.08 W d)2187.43 W 3. Find the displacement factor. a) 0.866 lead b)0.866 lag c) 0.5 lag d) 0.5 lead
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