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Lecture-18Examples-03-13-08

# Lecture-18Examples-03-13-08 - Lecture-18 Examples HRW 32-4...

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Lecture-18 Examples HRW 32-4 Two wires, parallel to a z axis and a distance 4r apart, carry equal currents i in opposite directions, as shown in Fig. 32-28 . A circular cylinder of radius r and length L has its axis on the z axis, midway between the wires. Use Gauss' law for magnetism to derive an expression for the net outward magnetic flux through the half of the cylindrical surface above the x axis. (Hint: Find the flux through the portion of the xz plane that lies within the cylinder.) Figure 32-28 Solution: 4. From Gauss’ law for magnetism, the flux through S 1 is equal to that through S 2 , the portion of the xz plane that lies within the cylinder. Here the normal direction of S 2 is + y . Therefore, 0 0 1 2 left 1 ( ) ( ) ( ) 2 ( ) 2 ln3 . 2 2 r r r B B r r r i iL S S B x L dx B x L dx L dx r x μ μ Φ = Φ = = = = π π HW-18-5. (HRW 32-8) A parallel-plate capacitor with circular plates of radius 40 mm is being discharged by a current of 6.0 A. At what radius (a) inside and (b) outside the

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Lecture-18Examples-03-13-08 - Lecture-18 Examples HRW 32-4...

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