An alternating single-phase circuit describes the instantaneous values of the applied voltage and the corresponding current as:v = 360 sin (201,69 t + π/6) and i = 36 sin (201,69 t - π/9)Calculate:the frequency (1)the phase angle, in degrees, (1)the power factor of the circuit (1)the value of the voltage and current 10 ms after zero, (2)the impedance, resistance and reactance of the circuit, (3)the r.m.s.-values of the voltage and current, (2)the true-, apparent- and reactive power in the circuit (3)The time taken to reach -190 V for the second time. (3)Sketch the phasor diagram of this circuit (2)

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the frequency (1) the phase angle, in degrees, (1) the power factor of the circuit

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 2.24P: A source supplies power to the following three loads connected in parallel: (1) a lighting load...

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Question

An alternating single-phase circuit describes the instantaneous values of the applied voltage and the corresponding current as:

v = 360 sin (201,69 t + π/6) and

i = 36 sin (201,69 t - π/9)

Calculate:

the frequency (1)
the phase angle, in degrees, (1)
the power factor of the circuit (1)
the value of the voltage and current 10 ms after zero, (2)
the impedance, resistance and reactance of the circuit, (3)
the r.m.s.-values of the voltage and current, (2)
the true-, apparent- and reactive power in the circuit (3)
The time taken to reach -190 V for the second time. (3)
Sketch the phasor diagram of this circuit (2)

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