A sinusoidal voltage is given by the expression vs = 340 cos(100nt + 20°). By analyzing the given expression, determine, (a) The period T of the voltage in milliseconds. (b) The frequencyf in Hertz. (c) The magnitude of v, at t = 5 ms. (d) The peak-peak and rms value of vs.

Power System Analysis and Design (MindTap Course List)
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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 2.1MCQ: The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmax
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hi.. please help to answer questions a) to d)

A sinusoidal voltage is given by the expression vs = 340 cos(100nt + 20°). By analyzing the
given expression, determine,
(a)
The period T of the voltage in milliseconds.
(b)
The frequency f in Hertz.
(c)
The magnitude of v, at t = 5 ms.
(d)
The peak-peak and rms value of vg.
(e)
If the AC voltage source v, is connected to a 170 Q resistor, calculate the maximum
amplitude of current flows through the resistor and write the current equation in time
domain.
(f)
If the phase angle of v, is changed to 10°, calculate the magnitude of v, at t = 10 ms.
If the frequency of v, is changed to 60 Hz, calculate the angular frequency of v, at t =
15 ms.
Transcribed Image Text:A sinusoidal voltage is given by the expression vs = 340 cos(100nt + 20°). By analyzing the given expression, determine, (a) The period T of the voltage in milliseconds. (b) The frequency f in Hertz. (c) The magnitude of v, at t = 5 ms. (d) The peak-peak and rms value of vg. (e) If the AC voltage source v, is connected to a 170 Q resistor, calculate the maximum amplitude of current flows through the resistor and write the current equation in time domain. (f) If the phase angle of v, is changed to 10°, calculate the magnitude of v, at t = 10 ms. If the frequency of v, is changed to 60 Hz, calculate the angular frequency of v, at t = 15 ms.
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