9.29 Use phasors to express the following equations as single sinusoids. a. v(t) - -200 cos(2T60t...
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...
EENG22S HOMEWORK III Q1. a) Find the phases corresponding to the following sinusoids (in parts in and iv. caly one phasor for each case should be calculated) i. 40) 20-50) -10-50) im. 5,0)=15x21-50)-200x2+40) iv. 0-10-20 ) 15cf620) b) Find the sinusoids corresponding to the following phasors i. I--30+40 3rds 1.-30-40 rad's V. li Q2. In the circuit shown, the amplitude of the voltage across the resistor is 5 V in the steady-state. Find the amplitude of the voltage across the...
Using phasors, find v(t) = v1(t) + v2(t), when v1(t)= 10 cos(50t -π/3) and v1(t)= 88 sin (50t + 300).
solve the problem with clear hand writing Problem 5 Suppose that vi(t) = 90 cos(wt-15) and vz(t) = 50 sin (wt-60). Use phasors to reduce the difference vs(t) = vi(t) - V2(t) to a single term of the form Vm cos(wt+o). State the phase relationships between each pair of these phasors. (15 Points)
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)
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
1. If v(t)-40V at #300 and t 1ms, determine the mathematical expression for the sinusoidal voltage. 2. A voltage expression is given as v, (t) -4 sin (2ot +50)V. Find its phase relationship with a, i(t) = 6 sin (20t + 40) b. v(t) 10 coS (20t 40) c. i(t) 3 sin (2ot 30) d. i(t)--3 cos (2ot + 90) 0??
2. Write the cosine based phasors in complex number form (a + b) for the following time functions. a. 10 cos(ot + 90) b. 10 sin(ot +90) c. 10 sin( 30) 3. Determine the time-domain functions associated with each of the following phasors. a. -2-i2 c. 4-i6 Write the mesh equations in matrix form (you do not have to solve them) for the following eircuit, using the phasor approach. (Hint: It helps to write the phasor quantities on the circuit...
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)
For the circuit shown below. Ifv.(t) = 100 cos(2001+30) V and vy(t) = 50 cos(2000) V. a) Redraw the circuit using Phasor equivalent. b) In the Phasor domain, find the node voltage equations. 1 mF 20 ml 30 000 30 mH 0.25 mF