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4. Find the 2-d derivative of i(t) = 6 cos(wt +60°) by using phasors and verify...
22 Convert the following instantaneous currents to phasors, using cos(ot) as the reference. Give your answers in both rectangular and polar form. (a) it) 500V2 cos(wt - 30) (b) it) 4 sin(ot +30) (c) i(t) 5 cos(ot - 15) +4V2 sin(wt30)
Given v(t) = 60cos(wt - 10) V and i(t) = 1.5 cos(wt +50)A find a. Complex Power (S) (2 pts.) b. Apparent Power (SI)(1 pts.) C. Real Power (P) (1 pts.) d. Power factor (2 pts.) e. Reactive Power (Q) (1 pts.) f. Impedance (Z) (1 pts.) g. Capacitance (C) ((2 pts.)
ECE 2005-W19 HW-5 Due: Mon 3/4/19 6 9.25. Using phasors, determine i(0) in the following equations di dt (a) 2 + 3i(t) -4 cos(2t - 45°) (b) 10 idt + + 6(t) - 5 cos(5t 220) A
Example 1 The voltage across the load is v(t) = 60 cos(wt - 10°) V and the current through the element in the direction of I voltage drop is i(t) = 1.5 sin(wt + 50°) A. Find a) The complex and apparent powers b) The real and the reactive powers c) The power factor and the load impedance.
Using phasors, find v(t) = v1(t) + v2(t), when v1(t)= 10 cos(50t -π/3) and v1(t)= 88 sin (50t + 300).
(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 -...
4. In the 2-pole machine shown below, la-Inn cos(wt-60), İb-ImCos(wt-180°), and icImcos(t 60°). Assume current Im creates a flux density with magnitude of Bn At t 0, plot the flux density vector created by each phase, the resultant flux density space vector (created by all three phases) and the resultant flux lines. Specify the magnitude (in terms of B of each vector. C'
Find the derivative 1.) X(+) = cos(+²) 2.) X(t) = cos(( exp (-+)7²) 3.) × (t) = cos(-exp (+²) 4.) X(t) = cos (exp(+²)) sin(t) s.) X(t) = cos (cos(+)) exp(-t)
. (5 Points) Consider a quadrupole with charges +q(t) = go cos(wt) at positions ±d/ and then charge-2q(t) =-20 cos(wt) at the origin. (a) Verify that the potential is: R+ R. Use the approximations in Sec. 11.1.2 to first order in d to show that the potential is zero to first order in d. (b)
2. Phasors At a given position x-0 two time-dependent electric fields E,t) and E,(t) interfere: E,(t)-2"cos(ot) and E2(1) = 3~cos(ot-π) Using the method of phasors, a) Evaluate the resultant field EE()+E(t) at that position. b) Using the complex plane, draw the three phasors at two arbitrarily different times. 4
2. Phasors At a given position x-0 two time-dependent electric fields E,t) and E,(t) interfere: E,(t)-2"cos(ot) and E2(1) = 3~cos(ot-π) Using the method of phasors, a) Evaluate the resultant field EE()+E(t)...