9. Find the phasor equivalents of the following currents: (a) ii(t) = 10 cos(1000t + 30°)...
Problem 6. Find the Nyquist rate of the following signals (a) (t)= 1 cos(1000t)cos(3000t) sin(4000Tt) (b) r(t) пt
) For a message signal m(t) = 2 cos( 1000t) 9 cos(2000t) a) Write expressions (do not sketch) for φPM(t) and qEM(t) when A = 10, a).-10°, k,-1000T, and k,-1. For determining ΦFM(), use the indefinite integral of m(); that is, take the value of the integral at t to be 0. b) Estimate the bandwidth of φPM(t) and φFM(t).
4.15. Use phasor techniques in the following. (a) Find 2 cos(100t - 459) – 3 cos (100t + 60°) (b) Find 50 sin(100t) + (d/dt) cos (100t - 30). Hint: Do not take the derivative in the time domain; replace it by jo in the frequency domain. (c) Use phasor techniques to evaluate the derivative the formula in the time domain and transform of i(t) = 20 sin(500t) at t = 2 ms. Hint: Write into the frequency domain, using...
6.4 (5) Draw the frequency domain circuit and calculate v(t) for the circuit shown if i(t)-10 sin(1000t -30°) A 35 Ω i(t) v(t) 15 mH 6.5 (5) Calculate the three phasor currents Ic, IR and It. from problem 6.4 and draw them on a phasor diagram. Show both algebraically and on the phasor diagram that: I=Ic + IR + IL
You have the following circuit in sinusoidal steady-state. Use phasor circuit analysis to find the time domain expression for the steady-state current, i(t), and steady-state voltages, VR(t), VC(t) and VL(t). Vs(t) = 50 cos(1000t) Volts. Problem 1 (20 points) You have the following circuit in sinusoidal steady-state. Use phasor circuit analysis to find the time domain expression for the steady-state current, i(t), and steady- state voltages, Vr(t), Vc(t) and Vl(t). Vs(t) = 50 cos(1000t) Volts. i(t) 100 12 25 mH...
1. Find the phasor form of the following functions. a. v(t)-1 55 cos(3771-25?)I, b. dt) = 5 sin(1 0001-400)V c. it) 10cos 10r6315 cos 10r-42° )A d. )-460 cos(500-25)-220sin00s°)
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 ?(?)
Problem 1. Determine vc(t) and iL(t) for the following circuit if is1 = 0.04 cos(1000t) and is2 = 0.02 cos(1000t − 90o ) Assessment Problem 1. Determine v.() and i.(t) for the following circuit if i 0.04 cos(10001) and i, -0.02 cos(1000t -909) 100mH 200Ω 2002 200Ω HI Assessment Problem 2. Determine the Thevenin equivalent cireuit for the tollowing as ming that w 100 rad/ec 4Ω 112. 10mE 20mH
#4: Complete the following: a) Convert to phasor form: A = 10 cos (s. 10 + /4) b) Convert to phasor form: B(1,1) = 32 sin (8710'+2.r --30°) ay c) Convert the phasor A. = 35337/4 to the exact time domain form A () = A, sin (wt + o), with w = 2 10% rad/sec. Since it is not defined, you must use the baseline assumption, A, = Re 4 d) Convert from phasor to a single cosine or...
3.3) Consider the circuit shown in Figure Q3.3. With phasor approach, find Vo(t) using MESH analysis. [15M] 5Ω 102 2 sin 1000t 152 20 MF Vot) ell 10 mH Figure Q3.3