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Your name: G#: Problem 4 (25 pts) In a lossless dielectric for which η 60%, 14-3,...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z)...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the...
(1) a uniform plane electromagnetic wave propagates in a lossless dielectric medium of infinite extent. the electric field in the wave has the instantaneous expression E(r,t) = (iz square root 3 - ix) (5/2) cos(6pi.10^8t - 3 square root 3piz - 3pix), V/m. 1) what is the wavelength of the wave in m? 2) what is the direction of propagation of the wave? 3) what is the relative refractive index of the dielectric medium? 4) what is the instantaneous expression...
3) For the cable in problem 2) now consider it to be lossless (i.e. perfect conductors and filled...
need help with question 3 ( question 2 for reference )
3) For the cable in problem 2) now consider it to be lossless (i.e. perfect conductors and filled with a dielectric material of ε,-3 and σ-0 S/m). (a) Determine a, B, up and Zo for the line. (b) If the line is terminated by a loading impedance Zt.-(30-j70) 2, find the reflection coefficient at the load, the standing-wave ratio on the line, the position of the voltage maximum nearest...
now please (10 pts) 3. Let 0-3 8 A= -3 5 - 1 2 -5 Solve...
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(10 pts) 3. Let 0-3 8 A= -3 5 - 1 2 -5 Solve the equation (find the general solution) for Ax-2x. cos e 2-sin -cos e 2+ sin e (25 pts) 4. a) (5 pts) Find det (B) and the inverse of B, where R
Problem 25 please -Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e...
Problem 25 please
-Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or...
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)
Page 3 Name (please print) III (10) When solving this problem show all the steps needed...
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
Name Prelaboratory Assignment 9 (25 pts) 1. A sample of 0.72 g of Al is reacted with 17.0 mL of 2.4 M KOH. Which one...
Name Prelaboratory Assignment 9 (25 pts) 1. A sample of 0.72 g of Al is reacted with 17.0 mL of 2.4 M KOH. Which one is the limiting reagent? SHOW WORK 9 pts 2Al (s)+ 2KOH (aq) + 6 H2O ()-2KAI(OH), (aq)+ 3 H: (g) 2. If a salt has a solubility of 27.2 g/100 mL water at 25 °C, what volume of water would be needed to dissolve 12.4 g of the salt? 6 pts 3. Calculate the theoretical...
This Question: 4 pts 25 of 26 (14 complete) This Test: Write the expression as the...
This Question: 4 pts 25 of 26 (14 complete) This Test: Write the expression as the sine, cosine, or tangent of a double-angle. Then find the exact value of the expression. cos2180° - sin 2 180° Which expression is cos2180° - sin 2180° equal to? Select the correct choice below and fill in the answer box within your choice. (Simplify your answer. Type your answer in degrees. Use integers or decimals for any numbers in the expression.) O A. cos...
Problem #7: Consider y" + ly = 0, subject to the periodic boundary conditions y(-1/2) =...
Problem #7: Consider y" + ly = 0, subject to the periodic boundary conditions y(-1/2) = y(1/2), y'(-1/2) = y'(7/2). Which of the following is a set of eigenfunctions for this boundary value problem? (A) (1, cos mx, cos 27x, (©) {1, cos £.xcos 4 x, (E) {1, coszx, coszx, (G) {1, cos 2x, cos 2 x, , sin ax, sin 2.1x, sin 3AX, ...} B) {1, cos2x, cos x, ... , sin 2x, sin x, sin ex, ...} sin...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
need help with question 3 ( question 2 for reference )
3) For the cable in problem 2) now consider it to be lossless (i.e. perfect conductors and filled with a dielectric material of ε,-3 and σ-0 S/m). (a) Determine a, B, up and Zo for the line. (b) If the line is terminated by a loading impedance Zt.-(30-j70) 2, find the reflection coefficient at the load, the standing-wave ratio on the line, the position of the voltage maximum nearest...
now
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(10 pts) 3. Let 0-3 8 A= -3 5 - 1 2 -5 Solve the equation (find the general solution) for Ax-2x. cos e 2-sin -cos e 2+ sin e (25 pts) 4. a) (5 pts) Find det (B) and the inverse of B, where R
Problem 25 please
-Sesin(2x)-9ecos(2x). 21. W = Span(B), where Br(x2e-4x , xe®, e-4x); f(x)--5x2r" + 2e-4-1e 22. W= Span(B),where B= ({x25, x5*, 5x)); f(x)--4x2 5x+9s5x-2(5x). 3 W Span(B), where B (Exsin(2x), xcos(2x), sin(2x), cos(2x)y): f(x) = 4x sin(2x) + 9x cos(20-5 sin(2x) + 8 cos(2x). 24, In Exercise 21 of Section 3.6, we constructed the matrix [D, of the derivative operator D on W- Span(B), where B e sin(bx), e" cos(bx)): Dls a a. Find [D 1g and [D'lg: Observe...
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)
Page 3 Name (please print) III (10) When solving this problem show all the steps needed to transform the expressions into ones that can be found in the table and indicate the entry of the table used in each step. a) Find the Laplace transform F(s) of the function (3-24 + 5e") sin(Tt) b) Find the inverse Laplace transform f(t) of the function F(s) = 9 32 +8-20 S()--'{F(s) 1. i Table of Laplace Transforms F(x) = {/0) (1)-2-(F) F(s)-...
Name Prelaboratory Assignment 9 (25 pts) 1. A sample of 0.72 g of Al is reacted with 17.0 mL of 2.4 M KOH. Which one is the limiting reagent? SHOW WORK 9 pts 2Al (s)+ 2KOH (aq) + 6 H2O ()-2KAI(OH), (aq)+ 3 H: (g) 2. If a salt has a solubility of 27.2 g/100 mL water at 25 °C, what volume of water would be needed to dissolve 12.4 g of the salt? 6 pts 3. Calculate the theoretical...
This Question: 4 pts 25 of 26 (14 complete) This Test: Write the expression as the sine, cosine, or tangent of a double-angle. Then find the exact value of the expression. cos2180° - sin 2 180° Which expression is cos2180° - sin 2180° equal to? Select the correct choice below and fill in the answer box within your choice. (Simplify your answer. Type your answer in degrees. Use integers or decimals for any numbers in the expression.) O A. cos...
Problem #7: Consider y" + ly = 0, subject to the periodic boundary conditions y(-1/2) = y(1/2), y'(-1/2) = y'(7/2). Which of the following is a set of eigenfunctions for this boundary value problem? (A) (1, cos mx, cos 27x, (©) {1, cos £.xcos 4 x, (E) {1, coszx, coszx, (G) {1, cos 2x, cos 2 x, , sin ax, sin 2.1x, sin 3AX, ...} B) {1, cos2x, cos x, ... , sin 2x, sin x, sin ex, ...} sin...
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