You are working in a manufacturing plant. In one particular machine, electric charges are suspended above...
You are working in a manufacturing plant. In one particular machine, electric charges are suspended above a uniformly charged disk of radius R. The disks become corroded rapidly and must be replaced daily. Your supervisor comes to you one day and tells you that he wants to replace the disks with much cheaper washers of radius R with a concentric hole of radius R/2.
He asks you to determine by what factor the charge on the disk
must be increased so that a uniform charge on the washer would
provide the same electric field at a distance x =
R on the central axis as did the disk.
q washer / q disk = ?
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You are working in a manufacturing plant. In one particular
machine, electric charges are suspended above...
You are working in a manufacturing plant. In one particular machine, electric charges are suspended above...
You are working in a manufacturing plant. In one particular machine, electric charges are suspended above a uniformly charged disk of radius R. The disks become corroded rapidly and must be replaced daily. Your supervisor comes to you one day and tells you that he wants to replace the disks with much cheaper washers of radius R with a concentric hole of radius R/2. He asks you to determine by what factor the charge on the disk must be increased...
4. In lecture we derived the electric field a distance z above the center of a...
4. In lecture we derived the electric field a distance z above the center of a thin ring of charge and a uniform disk of charge. Now determine the electric field a distance z above the center of a ring with charge uniformly distributed between an inner radius Ri and an outer rads R2 (alternatively, you can describe this as a disk of rads 2 with a circular hole of radius R). Do this two ways: by directly performing an...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
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...
question 4-7 4. Travelling Waves and Their Characteristics A rope wave travels in the positive x -direction. You are also told that the speed of the wave is 1000 cm/s, its frequency is 200 H...
question 4-7
4. Travelling Waves and Their Characteristics A rope wave travels in the positive x -direction. You are also told that the speed of the wave is 1000 cm/s, its frequency is 200 Hz, and that the wave is subject to the following initial conditions: at x 0 and t = 0: y =-1 cm, and, at x = 0 and t : ar = +20 cm/s (this is the velocity of the point on the rope at horizontal...
4. In lecture we derived the electric field a distance z above the center of a thin ring of charge and a uniform disk of charge. Now determine the electric field a distance z above the center of a ring with charge uniformly distributed between an inner radius Ri and an outer rads R2 (alternatively, you can describe this as a disk of rads 2 with a circular hole of radius R). Do this two ways: by directly performing an...
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...
question 4-7
4. Travelling Waves and Their Characteristics A rope wave travels in the positive x -direction. You are also told that the speed of the wave is 1000 cm/s, its frequency is 200 Hz, and that the wave is subject to the following initial conditions: at x 0 and t = 0: y =-1 cm, and, at x = 0 and t : ar = +20 cm/s (this is the velocity of the point on the rope at horizontal...
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