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Given the two sinusoidal waveforms, f (t) - 10 cos (ot) 100 sin (cot), g (t)-...
Consider two sinusoidal currents ?2(?) = 10 cos(10??) mA ?3(?) = 10 sin(10??) mA where t is in seconds. (i) Find the total current given by ?(?) = ?2(?) + ?3(?) (ii) Determine the amplitude, frequency (linear & angular), period, phase angle, and time shift of ?(?)
You are given the two waveforms below. v = 70.7 sin(100nt) and i=7.07 sin (120 nt – 30°) The above two equations prove that o Voltage and current are always sinusoidal waveforms o The voltage phase angle is always zero o The voltage and its related current have the same frequency o The two waveforms are from separate circuits QUESTION 5 The quantity 30 - j25 mS represents Reactance O Admittance Resistance Impedance a b The above elements represent the...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation. 7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
10. Given a uniform plane wave in air as Ei-40 Cos (cot - Pz)ax 30 Sin (ot - Bz)ay V/m nd Hi b. If the wave encounters a perfectly conducting plane normal to z axis at z 0, Find the reflected wave E and Hr C. What are the total E and H fields for z < 0.
Consider the sinusoidal voltage v (t) = 40 cos (100t+60°) V. Part A Part D Part G What is the maximum amplitude of the voltage? Express your answer to three significant figures and include the appropriate units. What is the phase angle in radians? Express your answer in radians to three significant figures. What is the first time after t=0 that v=-40V? Express your answer to three significant figures and include the appropriate units. ? TO AD U veca o...
Plot the waveforms in Excel for t= 0 to 1T (seconds). Reference the sinusoidal waveform shown in Eqn. 1 and Figure 1-2. Print and paste the waveforms in your notebook (make sure to label the axes). Note: make sure to use enough data points to produce a smooth sine wave. A(t) = A0 sin(2πft+ φ) +B (Equation 1) a. A0 = 4; f = 100 Hz b. A0 = 5; f = 1 kHz; φ = -25° Hint: convert deg....
Problem 2. Consider the sinusoidal voltage given by v(t) = 25 cos(400nt + 60°) V. a. What is the maximum amplitude of the voltage? b. What is the frequency in hertz? c. What is the frequency in radians per seconds? d. What is the phase angle in radians? e. What is the phase angle in degrees? f. What is the period in milliseconds? g. What is the first time after t=0 that v=0?
QUESTION 2 You are given the two waveforms below. v = V2 x 20 sin( or +30º) and 1 = 2 x 5sin (ct - 30%) The above two equations prove that The voltage waveform leads the current waveform The voltage waveform lags the current waveform The two waveforms are from seperate circuits The voltage and the current waveforms are in phase with each other
1. If v(t)-40V at #300 and t 1ms, determine the mathematical expression for the sinusoidal voltage. 2. A voltage expression is given as v, (t) -4 sin (2ot +50)V. Find its phase relationship with a, i(t) = 6 sin (20t + 40) b. v(t) 10 coS (20t 40) c. i(t) 3 sin (2ot 30) d. i(t)--3 cos (2ot + 90) 0??
2. A dragon is flying around in a pattern given by the parametric curve r(t) (cos(t) cos((sin(t) sin(t) cos(t)j. cos(t) - cos sin(t)-sin(t) cos(t))j (a) Find a formula for the velocity of the dragon at time t (b) Find all the times at which the dragon's speed is zero. Explain your reasoning. c) Does the path of the dragon contain any cusps? Explain your reasoning 2. A dragon is flying around in a pattern given by the parametric curve r(t)...