(a) Compute the electrical conductivity of a 5.1-mm (0.2-in.) di (a) Compute the electrical conductivity of a 5.1-mm (0.2-in.) diameter cylindrical silicon specimen 51 mm (2 in.) long in which a current of 0.1 A passes in an axial direction. A voltage of 12.5 V is measured across two probes that are separated by 38 […]
Find complex numbers t = z1 + z2 and s = z1 – z2, both in Find complex numbers t = z1 + z2 and s = z1 – z2, both in polar form, for each of the following pairs: (a)z2 – 2 + j3, z2 – 1 – j3, (b)z1 – 3, z2 – […]
Find the phasors of the following time functions Find the phasors of the following time functions: (a)v (t) – 3 cos (wt – π/3) (V), (b)v (t) – 12 sin (wt + π/4) (V), (c)i (x. t)2e–3x sin (wt + π/6) (A), (d)i(t) – 2 cos (wt + 3π/4) (A), (e)i(t) – 4 sin (wt […]
The magnetic field in a given dielectric medium is given by The magnetic field in a given dielectric medium is given by Where x and z are in meters. Determine: v (a) E, (b) The displacement current density Jd, and (c) The charge density ?v.
The rectangular loop shown in Fig. 5-48 (P5.38) is coplanar The rectangular loop shown in Fig. 5-48 (P5.38) is coplanar with the long, straight wire carrying the current I = 20 A. Determine the magnetic flux through the loop
Find the gradient of the following scalar functions: Find the gradient of the following scalar functions: (a) T = 3 / (x2 + z2), (b) V = xy2 z4|, (c) U =z cos?????1 + r2), (d) W = e-R sin?, (e) S = 4x2e-z + y3, (f) N = 2 cos2 ?, (g) M = […]
Find the distance between the following pairs of points Find the distance between the following pairs of points: (a) P1 (1, 2, 3) and P2 (- 2, – 3, -2) in Cartesian coordinates, (b) P3 (1, ????????and P4 (3, ????????in cylindrical coordinates, (c) P5 (4, ??2, 0) and P6 (3, ??????in spherical coordinates.
The three regions shown in Fig. 8-32 (P8.9) contain perfect The three regions shown in Fig. 8-32 (P8.9) contain perfect dielectrics. For a wave in medium 1 incident normally upon the boundary at z = – d, what combination of ?r2 and d produce no reflection? Express your answers in terms of ?r1, ?r3 and […]
Find and plot the normalized array factor and determine the Find and plot the normalized array factor and determine the half power beam width for a five-element linear array excited with equal phase and a uniform amplitude distribution. The interelement spacing is 3ďŹďŻ4.
Find an expression for the unit vector Find an expression for the unit vector directed toward the point P located on the z-axis at a height h above the xây plane from an arbitrary point Q(x, y, – 3) in the plane z = – 3.