Express the current waveform 0.2cos(67r x 10°t + 60°)mA i(t) in standard cosine form and then...
A device produces a square wave current waveform as depicted below i (mA) 10 5 t (sec) fur w It is desired to obtain the triangular voltage waveform shown below v (V) 12 < 1 1 1 3 4 t (sec) What device/element would you use and what are its characteristics including its initial state? Hint: one definition of the square wave is simply the sign function of a sinusoid: x(t) = sign(sin[2nft]) which will be 1 when the sinusoid...
PART B: 04 Sketch graph for sin waveform and cosine waveform for AC voltage and AC current. (4 marks) (b) Obtain the energy stored in each capacitor in Figure Q4(b) under DC conditions. (6 marks) (c) Determine the current through a 200 uF capacitor whose voltage is shown in Figure Q4(c). Sketch graph for current, I versus time, t. (10 marks) 2 mF Η Λ 2 ΚΩ 5 ΚΩ ΛΜ 6 mA 3 ΚΩ ΑΛΛ 4 ΚΩ 4 mE Figure...
r(t) = 10 sin(300t + 60°) cos(x - 90) sin(x) v(t) 10 cos(300t- 30°) ω = 300, Mag = 10, θ =-30° v 102-30 MLP Mcos(P) +jMsin(P) v = 10 cos(-30) +j10 sin(-30) Step 1: Convert to Cosine Step 2: Identify Frequency, Magnitude, and Phase Step 3: Convert to real/imag form = 8.66-J5 Step 4: Solve Step 5: Convert Back
4. (20 points) A current waveform shown in the Fig. 4. | (mA) t(s) -3 -2 -1 1 2 3 4 5 6 Figure 4: Current waveform flowing through an inductor. (a) (15 points) Determine the capacitor voltage at t=1s, 3s, and 5s, which results from the capacitor with capacitance C = 311F. Capacitor voltage was 3V at -1s. (b) (5 points) Sketch the capacitor voltage.
6.14 The waveform for the current flowing through the 10-uF capacitor in Fig. P6.14a is shown in Fig. P6.14b. If ve (t-0)- 1 V, determine vc(t) at t-1 ms, 3 ms, 4 ms, and 5 ms i(t) i(t) (mA) 15 t (ms) 4 (i 10
6.13 The waveform for the current in a 70-μF capacitor is shown in the figure below. Determine the waveform for the capacitor voltage. The waveform for the current in a 70-uF capacitor is shown in the figure below. Determine the waveform for the capacitor voltage i(t) (mA) 14 0 10 20 30 40 t (ms) t <0ms t < 40 ms t z 40ms v (t) -2500? V -4 V 0 t <0ms 2500t V 0 t < 40 ms...
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 ?(?)
A 10 μF capactor has current waveform shown below. Calculate the voltage at t = 6 s if V(0) is 3 V and x is 9. i (uA) 3x 2x 5 6 -X 2x -3x
Im to find the sin and cosine series representations meaning I have to find the coefficients of the fourier series when a_n = 0 and when b_n = 0 I believe. Expand each function into its cosine series and sine series representations of the indicated period T. Determine the values to which each series converges to at x = 0, x = 2 and x =-2 3. a),f(x)-3-x, T=6 b)f(x)=e, T = 2π c)I(x) = sin (x), T=2π 2, 2sr<3...
Explain please 2. Assume that the waveform shown at 100 90 the left represents the natural response of particular filter. For this waveform a) Determine the expression for the voltage, v(t). Your answer should have 80 a 70 60 50 40 30 the form v(t)Ve sin (wt). -at 20 10 b) Determine the resonant frequency, a. 0- -10 c) Plot the pole-zero diagram d) Determine the Q of this system. Does your answer agree with the length of the transient...