An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120t + 0.52), I in mA, t in s, Find: A. The amplitude, period, frequency and phase shift (phase at time = 0, in degrees) of I B. The value of the current I at: i. t=0 ii. t= 1/60 What do you notice about your results? C. If the phase of the current I is 1 radians, what is the time at this instance. D. Use MATLAB to plot I for 1 complete period ONLY. E. On the graph, show the point at which the phase of the current I is 1 radian. F. Showing your calculations, find the time at which the current is maximum and positive [hint: sin function is maximum when the angle is a/2 radians, or you can derive and equate to zero!]. G. From your plot, find the time, t, when current, I is maximum. H. Find the time and the phase displacement between I = 5 sin(120nt + 0.52) and I = 5 sin(120nt), iii. t= 1/30 iv. t= 1/15 show ´ your calculations. Plot the two signals in (h) on the same graph, show which one of them lags the other.
An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120t + 0.52), I in mA, t in s, Find: A. The amplitude, period, frequency and phase shift (phase at time = 0, in degrees) of I B. The value of the current I at: i. t=0 ii. t= 1/60 What do you notice about your results? C. If the phase of the current I is 1 radians, what is the time at this instance. D. Use MATLAB to plot I for 1 complete period ONLY. E. On the graph, show the point at which the phase of the current I is 1 radian. F. Showing your calculations, find the time at which the current is maximum and positive [hint: sin function is maximum when the angle is a/2 radians, or you can derive and equate to zero!]. G. From your plot, find the time, t, when current, I is maximum. H. Find the time and the phase displacement between I = 5 sin(120nt + 0.52) and I = 5 sin(120nt), iii. t= 1/30 iv. t= 1/15 show ´ your calculations. Plot the two signals in (h) on the same graph, show which one of them lags the other.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120t + 0.52), I in mA, t in s,
Find:
A. The amplitude, period, frequency and phase shift (phase at time = 0, in degrees) of I
B. The value of the current I at:
i. t=0 ii. t= 1/60
What do you notice about your results?
C. If the phase of the current I is 1 radians, what is the time at this instance.
D. Use MATLAB to plot I for 1 complete period ONLY.
E. On the graph, show the point at which the phase of the current I is 1 radian.
F. Showing your calculations, find the time at which the current is maximum and positive [hint: sin
function is maximum when the angle is a/2 radians, or you can derive and equate to zero!].
G. From your plot, find the time, t, when current, I is maximum.
H. Find the time and the phase displacement between I = 5 sin(120nt + 0.52) and I = 5 sin(120nt),
iii. t= 1/30
iv. t= 1/15
show
´ your calculations.
Plot the two signals in (h) on the same graph, show which one of them lags the other.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78bb4c88-abf4-4e2c-9d4c-1cf274f03839%2F4da655d1-0bb9-4f31-abb9-460e238a850f%2Fk1sjuk.jpeg&w=3840&q=75)
Transcribed Image Text:An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120t + 0.52), I in mA, t in s,
Find:
A. The amplitude, period, frequency and phase shift (phase at time = 0, in degrees) of I
B. The value of the current I at:
i. t=0 ii. t= 1/60
What do you notice about your results?
C. If the phase of the current I is 1 radians, what is the time at this instance.
D. Use MATLAB to plot I for 1 complete period ONLY.
E. On the graph, show the point at which the phase of the current I is 1 radian.
F. Showing your calculations, find the time at which the current is maximum and positive [hint: sin
function is maximum when the angle is a/2 radians, or you can derive and equate to zero!].
G. From your plot, find the time, t, when current, I is maximum.
H. Find the time and the phase displacement between I = 5 sin(120nt + 0.52) and I = 5 sin(120nt),
iii. t= 1/30
iv. t= 1/15
show
´ your calculations.
Plot the two signals in (h) on the same graph, show which one of them lags the other.
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