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...


An alternating current in a 4G signal transmitter is expressed as I = 5 sin(120t + 0.52), I in mA, t in s,<br>Find:<br>A. The amplitude, period, frequency and phase shift (phase at time = 0, in degrees) of I<br>B. The value of the current I at:<br>i. t=0 ii. t= 1/60<br>What do you notice about your results?<br>C. If the phase of the current I is 1 radians, what is the time at this instance.<br>D. Use MATLAB to plot I for 1 complete period ONLY.<br>E. On the graph, show the point at which the phase of the current I is 1 radian.<br>F. Showing your calculations, find the time at which the current is maximum and positive [hint: sin<br>function is maximum when the angle is a/2 radians, or you can derive and equate to zero!].<br>G. From your plot, find the time, t, when current, I is maximum.<br>H. Find the time and the phase displacement between I = 5 sin(120nt + 0.52) and I = 5 sin(120nt),<br>iii. t= 1/30<br>iv. t= 1/15<br>show<br>´ your calculations.<br>Plot the two signals in (h) on the same graph, show which one of them lags the other.<br>

Extracted 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.

Jun 04, 2022
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