Generate a bounce diagram for the voltage V (z, t) for a 1-m Generate a bounce diagram for the voltage V (z, t) for a 1-m long lossless line characterized by Z0 = 50 ? and up = 2c/3 (where c is the velocity of light) if the line is fed by a step voltage […]
Give expressions for y(x, t) for a sinusoidal wave traveling Give expressions for y(x, t) for a sinusoidal wave traveling along a string in the negative x-direction, given that y max = 40cm, 位 = 30 cm, f = 10 Hz, and (a)y(x, o) = 0 at x =o, (b)y(x, o) = o at x […]
Given the electric flux density determine Given the electric flux density determine (a) pv by applying Eq. (4.26), (b) The total charge Q enclosed in a cube 2 m on a side, located in the first octant with three of its sides coincident with the x-, y-, and z-axes and one of its corners at […]
Given a wave with E = xE0cos (wt – kz) Calculate: (a) The Given a wave with E = xE0cos (wt â kz) Calculate: (a) The time-average electric energy density (b) The time-average magnetic energy density (wm)av = 1/T f wm dt = 1/2T f ÂľH2 dt, and (c) Show that (we) av = (wm)av.
Given the electric field find the electric potential of point Given the electric field find the electric potential of point A with respect to point B where A is at + 2 m and B at â 4 m, both on the z-axis.
Given B = x (z – 3y) + y(2x -3z) Given B = x (z – 3y) + y(2x -3z) – z(x + y), find a unit vector parallel to B at point P(1, 0, -1)
Given A = x2 _ y3 + z1 and B (a) Find Bx and Bz if A is parallel to B; (b) Find a relation between Bx and Bz if A is perpendicular to B.
For the vector field E = xxz _ yyz2 _ zxy, verify the For the vector field E = xxz _ yyz2 _ zxy, verify the divergence theorem by computing: (a) The total outward flux flowing through the surface of a cube centered at the origin and with sides equal to 2 units each and […]
For the short dipole with length l such that l For the short dipole with length l such that l < ?,=”” instead=”” of=”” treating=”” the=”” current=”” i=”” (z)=”” as=”” constant=”” along=”” the=”” dipole,=”” as=”” was=”” done=”” in=”” section=”” 9-1,=”” a=”” more=”” realistic=”” approximation=”” that=”” insures=”” that=”” the=”” current=”” goes=”” to=”” zero=”” at=”” the=”” ends=”” […]
Generate a plot for the skin depth versus frequency fo Generate a plot for the skin depth versus frequency for seawater for the range from 1 kHz to 10 GHz (use log-log scales). The constitutive parameters of seawater are Îźr = 1, r = 80 and 4 S/m.