Homework Answers
Suppose that ā, 5, and ē are vectors in R2 such that the angles between (a,...
Suppose that ā, 5, and ē are vectors in R2 such that the angles between (a, b) and (ā, 2) are both oblique (i.e., between 0 and 90°). Then the angle between (a, a) where d=5+ Čis: a. Oblique, 0º < 0 < 90° b. Right, 0 = 90° c. Obtuse, 90° <O< 180° d. Straight, 0 = 180° e. Cannot be determined on the basis of the information given.
_ [2 sin(t) o (0)-5.5 a. Form the complementary solution to the homogeneous equation e(-t) 5e (t)...
Part A is already done.
_ [2 sin(t) o (0)-5.5 a. Form the complementary solution to the homogeneous equation e(-t) 5e (t) + c2 en(-t) en(t) b. Construct a particular solution by assuming the form p(t) (sin t)ã + (cos t)band solving for the undetermined ja + (cost)¡ and solving for constant vectors ã and B. Ep(t)- c. Form the general solution ¢(t) (t) + zp(t) and impose the initial condition to obtain the solution of the initial value problem...
Show that A cos (ao) + B sin (a0) can be written in the form r...
Show that A cos (ao) + B sin (a0) can be written in the form r sin (a01-9). Determine r and θ in terms of A and B. If R cos (a01-)-r sin (a01-θ), determine the relationship among R, r, δ and θ.
5. Three steels with a composition of Fe-0.2 wt.% C, Fe-0.76 wt.% C and Fe-1.1 wt.%...
5. Three steels with a composition of Fe-0.2 wt.% C, Fe-0.76 wt.% C and Fe-1.1 wt.% C are produced by melting and slowly cooling down to room temperature. By referring the phase diagram provided in figure 3, what would you expect in terms of phase changes (solidification sequence) in all three alloys as the temperature of the alloys reduces from melting temperature to room temperature? What will be the approximate weight fraction of each of those micro constituents at room...
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A...
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A sin(at +) respectively and ti are shown in the following figure. Determine the most suitable values for A and . a. A = 1.67 and $ = 45° b. A = 1.67 and $ = -45° C. A = 0.6 and $ = 45° d. A = 0.6 and 6 = -45° 9. Routh criterion is applied to check the stability of polynomials +s...
solve the problem with clear hand writing Problem 5 Suppose that vi(t) = 90 cos(wt-15) and...
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)
i tried doing the formula of vp*ip*sin(wt)cos(wt), it does not work (1 point) A 116 uF...
i tried doing the formula of
vp*ip*sin(wt)cos(wt), it does not work
(1 point) A 116 uF capacitor is connected to a source that operates at 120 Hz with a peak potential difference of 30 V. Find: a) the peak current: 522/625pi A b) the current when the potential difference has its peak value: 0 A c) the current when the potential difference has one-half the (positive) peak value (there are two answers, list them in increasing order): -2.272 A 2.272...
4) The switch was imposition à for a long time. At too, the switch moves toposition...
4) The switch was imposition à for a long time. At too, the switch moves toposition 'b! Find the following. zokn 6 á skur 40 kur M 40v & Gokes to Ta Tob.25 uF me looks 75V a) Ne (0) = b) u (ot) = - C) N 00) = _ d) T = _ e) v (t) fot>o test) = f to (t) for t>o lo(t)= Find Ly in the cireint 5) 3 pts 6500 96 mH - Ly=...
Show that the Fourier Series with an and bn can be written as rS n Sin Cn eXp nO0O where cn are c...
Show that the Fourier Series with an and bn can be written as rS n Sin Cn eXp nO0O where cn are complex coefficients. What is their value?
Show that the Fourier Series with an and bn can be written as rS n Sin Cn eXp nO0O where cn are complex coefficients. What is their value?
QUESTION 6 Following circuit is a half-wave rectifier. Assume Vs(t) = Vp sin (wt) where Vp...
QUESTION 6 Following circuit is a half-wave rectifier. Assume Vs(t) = Vp sin (wt) where Vp = 19 V, w=2nf and f=60 Hz. Also assume C = 415 F and R = 844 , and on-voltage Von = 1 V for the diode. Calculate the ripple voltage, Vr, at the output of the rectifier. Vout
Suppose that ā, 5, and ē are vectors in R2 such that the angles between (a, b) and (ā, 2) are both oblique (i.e., between 0 and 90°). Then the angle between (a, a) where d=5+ Čis: a. Oblique, 0º < 0 < 90° b. Right, 0 = 90° c. Obtuse, 90° <O< 180° d. Straight, 0 = 180° e. Cannot be determined on the basis of the information given.
Part A is already done.
_ [2 sin(t) o (0)-5.5 a. Form the complementary solution to the homogeneous equation e(-t) 5e (t) + c2 en(-t) en(t) b. Construct a particular solution by assuming the form p(t) (sin t)ã + (cos t)band solving for the undetermined ja + (cost)¡ and solving for constant vectors ã and B. Ep(t)- c. Form the general solution ¢(t) (t) + zp(t) and impose the initial condition to obtain the solution of the initial value problem...
Show that A cos (ao) + B sin (a0) can be written in the form r sin (a01-9). Determine r and θ in terms of A and B. If R cos (a01-)-r sin (a01-θ), determine the relationship among R, r, δ and θ.
5. Three steels with a composition of Fe-0.2 wt.% C, Fe-0.76 wt.% C and Fe-1.1 wt.% C are produced by melting and slowly cooling down to room temperature. By referring the phase diagram provided in figure 3, what would you expect in terms of phase changes (solidification sequence) in all three alloys as the temperature of the alloys reduces from melting temperature to room temperature? What will be the approximate weight fraction of each of those micro constituents at room...
8. The input r(t) and output y(t) of a transfer function block are sin(wt) and A sin(at +) respectively and ti are shown in the following figure. Determine the most suitable values for A and . a. A = 1.67 and $ = 45° b. A = 1.67 and $ = -45° C. A = 0.6 and $ = 45° d. A = 0.6 and 6 = -45° 9. Routh criterion is applied to check the stability of polynomials +s...
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)
i tried doing the formula of
vp*ip*sin(wt)cos(wt), it does not work
(1 point) A 116 uF capacitor is connected to a source that operates at 120 Hz with a peak potential difference of 30 V. Find: a) the peak current: 522/625pi A b) the current when the potential difference has its peak value: 0 A c) the current when the potential difference has one-half the (positive) peak value (there are two answers, list them in increasing order): -2.272 A 2.272...
4) The switch was imposition à for a long time. At too, the switch moves toposition 'b! Find the following. zokn 6 á skur 40 kur M 40v & Gokes to Ta Tob.25 uF me looks 75V a) Ne (0) = b) u (ot) = - C) N 00) = _ d) T = _ e) v (t) fot>o test) = f to (t) for t>o lo(t)= Find Ly in the cireint 5) 3 pts 6500 96 mH - Ly=...
Show that the Fourier Series with an and bn can be written as rS n Sin Cn eXp nO0O where cn are complex coefficients. What is their value?
Show that the Fourier Series with an and bn can be written as rS n Sin Cn eXp nO0O where cn are complex coefficients. What is their value?
QUESTION 6 Following circuit is a half-wave rectifier. Assume Vs(t) = Vp sin (wt) where Vp = 19 V, w=2nf and f=60 Hz. Also assume C = 415 F and R = 844 , and on-voltage Von = 1 V for the diode. Calculate the ripple voltage, Vr, at the output of the rectifier. Vout
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