Example 5 reads: We consider an infinite slab of a conducting material with magnetic susceptibility xM carring a certain current distribution. The slab is parallel to the xy plane, between z--a andz-...
Alternating current flows parallel to the surface of a semi-infinite slab of conducting material. At what depth is the current density reduced to (a) 10 per cent and (b) 1 per cent of the surface value? At what depth is the phase of the current density (c) 90°, and (d) 180 lagging on the surface value? (Answer (a) 2.34, (b) 4.64, (c) 1.574, and (d) 3.141.)
An infinite slab of conductive material with thickness w sits perpendicular to the z-axis, centered on the xy-plane, carrying a uniform current density J in the Y direction. The current density is increasing in strength at a linear rate y Find the magnitude and direction (CW or CCW around the x-axis) of the current induced in a rectangular conductive ring of total resistance R that rests in the yz-plane outside the slab, if its area is A. Answer in terms...
Consider two parallel conducting wires along the direction of the z axis as shown below. Wire 1 crosses the x-axis at x = -1.40 cm and carries a current of 2.70 A out of the xy-plane of the page. Wire 2 (right) crosses the x axis at x = 1.40 cm and carries a current of 5.90 A into the xy plane. At which value of x is the magnetic field zero?
Two Wires Points: 1 Consider two parallel conducting wires along the direction of the Z axis as shown below. Wire 1 crosses the x-axis at x = -2.70 cm and carries a current of 1.40 A out of the xy-plane of the page. Wire 2 (right) crosses the x axis at x = 2.70 cm and carries a current of 6.30 A into the xy plane. At which value of x is the magnetic field zero? (Hint: Careful with sign)...
Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by x7.2 cm. Each sheet consists of an infinite array of wires with a density n 18 wires/cm. Each wire in the left sheet carries a current 3.5 A in the negative z direction. Each wire in the right sheet carries a current l2 5.7 A in the positive z-direction 2 1) What is Bx(P), the x-component of the...
Two infinite sheets of current flow parallel to the y-z plane as shown. The sheets are equally spaced from the origin by xo 4.8 cm. Each sheet consists of an infinite array of wires with a density n = 15 wires/cm. Each wire in the left sheet carries a current l1 = 3.7 A in the negative z- direction. Each wire in the right sheet carries a current l2 = 5.1 A in the positive z-direction ES R P 1)...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...