Task 1: An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120nt + 0.52), I in mA, t in s, Find: a. The amplitude, period, frequency and phase (in degrees) of I b. The value of the current I at: i. t=0 ii. t= 1/60 iii. t= 1/30 iv. t= 1/15 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 1/2 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(120at + 0.52) and I = 5 sin(120nt), show your calculations. i. Plot the two signals in (h) on the same graph, show which one of them lags the other.
Task 1: An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120nt + 0.52), I in mA, t in s, Find: a. The amplitude, period, frequency and phase (in degrees) of I b. The value of the current I at: i. t=0 ii. t= 1/60 iii. t= 1/30 iv. t= 1/15 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 1/2 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(120at + 0.52) and I = 5 sin(120nt), show your calculations. i. 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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![Task 1:
An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120nt + 0.52), I in mA, t in s,
Find:
a. The amplitude, period, frequency and phase (in degrees) of I
b. The value of the current I at:
i. t=0 ii. t= 1/60
iii. t= 1/30
iv. t= 1/15
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 1/2 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(120at + 0.52) and I = 5 sin(120nt),
show your calculations.
i. 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%2F494748b7-a4eb-4fb0-8f95-ded20da5532b%2F3fa0b619-66dd-468a-acc2-6de53f0416bf%2Fuukz4p7.png&w=3840&q=75)
Transcribed Image Text:Task 1:
An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120nt + 0.52), I in mA, t in s,
Find:
a. The amplitude, period, frequency and phase (in degrees) of I
b. The value of the current I at:
i. t=0 ii. t= 1/60
iii. t= 1/30
iv. t= 1/15
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 1/2 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(120at + 0.52) and I = 5 sin(120nt),
show your calculations.
i. Plot the two signals in (h) on the same graph, show which one of them lags the other.
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