2. complex numbers
a voltage v(t) is given:
v(t)=v1(t)+v2(t)=1 V sin( omega t -45) – 2 V
cos(omega t-60)
a)convert the voltages to phasors and sketch a phasor diagram of
V1,V2 and V
b)reduce the expression of v(t) to the form v(t)=Vm cos(omega*t +
fi(its angle))
do u see normaly 3 exercise _?
Problem 4. laplace transform of discontinuous function for the function illustrated a) sketch f'(t) b)find la place transform of f'(t)
2. complex numbers a voltage v(t) is given: v(t)=v1(t)+v2(t)=1 V sin( omega t -45) – 2...
300) V and v2 (t) 20 cos(wt 45°) V, find v(t) v1 (t)2(t) If v1(t) = -10 sin(wt _ -
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
8 H 2 Q iL Vs (t 22 1. vs (t) 2 V; this is a dc source. Solve using a simple circuit analysis method 2. Us (t) 2u (t) V; solve by writing and solving the differential equation for the circuit, as in Ch. 8. You = = 0 for t0. can assume that ir 2u (t) V; solve using the Thévenin method, as in Ch. 8. You can assume that i, = 0 for t< 0. 3. vg...
1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3) ; (c) h(t)-t-e-21. cos(30.11(1) 2. Determine the Laplace transform of the non-periodic signal shown below: h(t) 0 1 2 3 4 t 3. Determine the Laplace transform of the periodic waveforms shown below: fa) f(t) 0 2T 4T 6T 8T 4. Determine the inverse Laplace transform of the following signals 2s (b) G)6s+12 H(s) =s.(14%) (a) F(s)-De (c) (2s +1)(s1 +5s +6 5. Using...
4. Applications of Laplace transform Questions 1-4, find y(t) (1). y(t)=t+ſ v(7) sin(t – r)dt (2). y(t)=1-1 "(t)edt (3). y'(t)=t+ſ v(t = 1)cos edt , y(0)=0 (4). y'(t)=1-1 y(t-1) edt, y(0)=1
Circuit Analysis with Phasors and Complex Impedances: Node-Voltage Analysis - Copy 2 of 4 - Part A - Node voltage analysis with an independent source Before examining an example with a dependent souron, was investigate a circuit with a single independent current source is shown below. (0) - 15 cod 500+ 50.2 m WS The circuit transformed into the frequency domain is shown below. -/100 V. Ultimately, we want to determine the voltage drop across the story in preparation, what...
t for OSts 3 sketch the following orosts3 waveforms: (a) x(-t) 1. For the signal e) and (bl x(2-t) with appropriate labelling, (2+2-4 marks) 2. Recall that the energy of a continuous-time signal is defined as E-匚x3(t)dt for real x(t). Write the corresponding expression for the energy of a discrete-time signal x(n). Find the energy of the discrete-time signal x(n)- 3) forn<0 1+3-4 marks & Find the final value of the response y(t) of a system whose transfer function is...
1. Why can the DSO only measure node voltages when the Function Generator is the power supply in a circuit (unless it is using a current probe)? 2. Consider Figure 1. According to the calculations in the lab handout, if Z-1kΩ +/6914, then the phase difference (фи-фі) between u(t) and i (t) is 34.6". a. If this v(t) and i(t) were displayed on a DSO (v(t) being a node voltage and using a current probe for i(t) as shown in...