A complex voltage v is represented by: v = 25 + 100 sin at +40 sin (3wt+7) + 20 sin(5wt+ volts 12 where w=104 rad/s. The voltage is applied to a series circuit comprising a 5.02 resistance and a 500 µH inductance. Determine (a) an expression to represent the current flowing in the circuit, (b) the rms value of current, cor- rect to two decimal places, and (c) the power dissipated in the circuit, correct to three significant figures.

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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A complex voltage v is represented by:
7)
+ 20 sin(5wt+772) volts
where @ = 10¹ rad/s. The voltage is applied to a series
circuit comprising a 5.02 resistance and a 500 µH
inductance.
v=25+ 100 sin at +40 sin (3wt +
Determine (a) an expression to represent the current
flowing in the circuit, (b) the rms value of current, cor-
rect to two decimal places, and (c) the power dissipated
in the circuit, correct to three significant figures.
Transcribed Image Text:A complex voltage v is represented by: 7) + 20 sin(5wt+772) volts where @ = 10¹ rad/s. The voltage is applied to a series circuit comprising a 5.02 resistance and a 500 µH inductance. v=25+ 100 sin at +40 sin (3wt + Determine (a) an expression to represent the current flowing in the circuit, (b) the rms value of current, cor- rect to two decimal places, and (c) the power dissipated in the circuit, correct to three significant figures.
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