Problem 1. Make a sketch of the infinite strip 0< < 1. Then, find and sketch...
8.7. A conducting strip of infinite length lies in the xy plane with its length oriented along the x axis, and where – b/2<y<b/2 defines its width along y. Current I flows down the strip in the positive x direction and is uniformly distributed over the width. Above the strip and parallel to it at z=d is an infinitely long current filament that carries current I in the positive x direction. Find the force of attraction between the two currents...
(c) please Tz that 1. Find the most general linear fractional transformation w = maps the region A into B : (a) A = {l-1 <1}, B = {Im w >0} (6) A = {lz| <1}, B= {Rew >0} (c) A = {]z – al < R}, B = {Rew 5-3}
Problem 1. x(t) = 2 cos(210.8t) + 3cos(270.2t) 1) Sketch x(t) for 0<t<2 2) Find the Fourier Series coefficients for x(t)
Q8 [10] Find the image of the semi-infinite strip in the 2 - plane under the Transformations given by 1) to (1) by interpreting both the regions graphically. The semi infinite strip is given by, {2 < Real z < 5, Imag. z <3, ZEC ill) w =
Problem 3 (10 pts) The wavefunction of a particle in an infinite potential well, of width a, is initially given by 16 ?(x, t-0) sin"(? x/a) cos(nx/a) Find the expression for ?(x, t) for all t > 0
Solve the following problem อน a( 1,0) = 0, a(2,0) = f(0), 0 < θ <う
4. Find & such that |--^x=12,< for all \x + 2<8.
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
Problem 3.12 Find the DTFT of the following time-domain signals: (b) x[n] = alu. lal < 1 11:32 AM Wed 25 Mar '< ! Q 0 O Untitled Notebook (12) 5 * Untitled Notebook (12) W X hw3A_s2020.pdf Untitled Problem 3.14 Find the FT of the following signals: continuous la aperiodic (b) X(t) = e te n(jw) t 120
A) B) C) 1 Find the Laurent series for 22 +22 for 0 < 121 < 2 Find the Laurent series for (z+2)}(3-2) for 2 – 3) > 5 1 Find the Laurent series for z2(z-i) for 1 < 12 – 11 < V2