E R w switch L In the circuit shown in the figure above a generator supplies a voltage of E(t) = 50 sin(50t)V, the inductance is L = 2H, the resistance is R = 30, and I(0) = 1. Find the current after t seconds. I(t)

using di/dt

Find the exact value of the expression. sec(sin−1(5/13))

Cos h2

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.

b11

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.

d30 Find dr30 (-15 sin (x)).

cos ( – 0.64)

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