Given the following: B bar = (0.5 x^2 yt^2 T)j^- (1.2x y^2 t T)k^, a) Determine...
Given the following: B vector = B_0 alpha [(yzt omega)i^hat (xz omega t) j^hat + (y^2 t omega)k^hat], determine the electric field. Here B_0, and alpha are constants with proper units.
2. In the following system, x(t) is the input and y(t) is the output. yt) fix(t)] for some f For each of the system, determine if they are linear. Justify your answers (providing counter- examples could be useful if the system is not linear) A. y(t) 4x(t) B. y(t) t2x(t) C. y(t) 2x(t) +3 D. y(t) 4x2(t) Fx) dt
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation. 7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
2. Determine whether each of the following system is linear or not. (A) y(t)- J x(t)dt (B) y(t)2(t)
Problem 2: Let x(t)-u(t)-u(t-2) and yt) tu()-u(t-1)] a) plot x(t) and y(t) b) evaluste graphically and plot z(t)x(t) y(t)
2. Given R(x,y, z, w, k, t). There are two keys: (x,y) and z. Given the following functional dependency: F = { {x,y} {z,w,k,t}, z {x,y,w,k,t }, yt}. Is R in 2nd normal form? Justify your answer. 3. Given R(x,y, z, w, k, t). There are two keys: (x,y) and z. Given the following functional dependency: F = { fd1:{x,y} {z,w,k,t}, fd2: z {x,y,w,k,t }, fd3:k x}. Is R in 3rd normal form? Justify your answer....
4. (30) A linearly polarized electromagnetic wave has the following magnetic field component: B(x,t)-Bo sin(kr -ut) Calculate the electric field of the electromagnetic wave by using the Maxwell term of the Ampere-Maxwell equation, evaluating the curl of the magnetic field, and then integrating to get the electric field.
2 Recall that i, j, and k are the unit vectors in the x, y, and a directions. What is (ix]) x k? A. B. C. D. E. zero +1 -1 +k - 4 A bar of length 2L can rotate about a frictionless axle at its center. The bar is initially at rest and is then acted on by the three forces shown. What happens to the bar? L/2 axle
(1)Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j (2) Let F(x, y, z) = (2exz, 3 sin(xy), x7y2z6). (a) Find the divergence of F. (b)Find the curl of F. -/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
a bar magnet of magnetic moment 6 J/T is aligned at 60 degree with a uniform external magnetic field of 0.44 T. Calculate (a) the work done in turning the magnet to align its magnetic moment (1) normal to the magnetic fiel A bar magnet of magnetic moment 6 J/T is aligned at 60° with a uniform external magnetic field of 0-44 T. Calculate (a) the work done in turning the magnet to align its magnetic moment (i) normal to...