Compute the mean value of the intensity of the alternating current i(t)=k sin wt during an interval of time equal to th...
The time function (t) is given by sin(Wt) 2(t) = A- (a) Sketch this function, showing explicitly the value at t 0 and the values of t for which (t)-0. In order to specify the shape, you should also approximate the value of the function at t values corresponding to the first few local maxima. (b) Consider the following block diagram showing "signal processing blocks" including a multiplier, a transmitter, and a lowpass filter. (Note that the transmitter only has...
The rms value for a time-dependent current I(t) is defined as I_rms = [1/T integral^T_0 I^2(t) dt]^1/2, where T is the period. Following this definition, I_rms for a sinusoidal current I(t) = I_0 sin(2 pi t/T) is
Q3 [6 marks=3+3] (a) Compute the mean-squared value of the
signal over the interval . (b) What is the mean-square value of the
signal over the interval (-∞,∞) ?
[6 marks-3+3] (a) Compute the mean-squared value of the signal y(t)-2 sin(31) over the interval (-r,t). (b) What is the mean-square value of the signal a(t)-cos| 2πι +-| over the interval (- o, o) ?
i tried doing the formula of
vp*ip*sin(wt)cos(wt), it does not work
(1 point) A 116 uF capacitor is connected to a source that operates at 120 Hz with a peak potential difference of 30 V. Find: a) the peak current: 522/625pi A b) the current when the potential difference has its peak value: 0 A c) the current when the potential difference has one-half the (positive) peak value (there are two answers, list them in increasing order): -2.272 A 2.272...
The current from an AC source is given by: I(t) = 10.10 sin(70.0 t + 0.830 ) mA, where t is given in seconds. (a) What is the RMS current IRMS? mA (b) What is the frequency f? Hz (c) If the phase shift were given in degrees, what would its value be? degrees (d) What is the time t0 closest to t = 0 when the current vanishes? ms
Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot the curve with t going over the interval [-2, 2]. b) Plot the curve again over the same interval, but this time add the velocity vector in blue at (1, 0, 0) to the graph. c) Plot the curve again over the same interval, along with the blue velocity vector at (1, 0, 0), but this time add the acceleration vector in red at...
2) (15 points) Consider a voltage signal v(t)Vocos(wt) (a) Consider applying v(t) across a capacitor C (i) What's the current into the capacitor? (ii) Plot the current and the voltage in the time domain and draw their respective phasors in the complex plane. (ii) Does the current lead or lag the voltage? Explain intuitively. (b) Repeat (i), (ii), and (ii) for part (a) but with an inductor, L, instead of a capacitor. (c) Repeat (i), (ii), and (ii) for part...
A current i(t) = 220 sin (20pi t) mA is applied to a capacitor of C = 20000/pi mu F, as shown in the figure below: a) Knowing that i(t) = C dv/dt, integrate both sides of the equation to determine the voltage v(t). You may assume that the initial voltage is v(0) = 0.55 Volts. b) Plot one cycle of the voltage v(f) found in part a) and clearly indicate the amplitude, frequency, and period on the plot. Also,...
can you break down these answers for me please
The instantaneous value of current i (amps) att seconds in a circuit is given by i = 35 sin(400xt - 2.5 Find the value of a) The amplitude b) The period in ms Round your answer to 2 decimal places. The frequency d) The intial phase angle when t=0, expressed in both radians and degrees. 2 decimal places where applicat rads The value off when= 10.1 sec to two decimal places...
The current I(t) in an LC series circuit is governed by the initial value problem below. Determine the current as a function of time t. 100 sin 4t, 0sts2n I"(t) + 361(t) = g(t), I(0) = 4, I'(0) = 50, where g(t) = 2n <t 0,