Let us try to estimate the maximum “static electricity” charge that might result during each walking step across an insulating floor. Assume the sole of a person’s shoe has area A ≈ 150 cm 2 , and when the foot is lifted from the ground during each step, the sole acquires an excess charge Q from rubbing contact with the floor. ( a ) Model the sole as a plane conducting surface with Q uniformly distributed across it as the foot is lifted from the ground. If the dielectric strength of the air between the sole and floor as the foot is lifted is E S = 3 × 10 6 N/C, determine Q max , the maximum possible excess charge that can be transferred to the sole during each step. ( b ) Modeling a person as an isolated conducting sphere of radius r ≈ 1 m, estimate a person’s capacitance. ( c ) After lifting the foot from the floor, assume the excess charge Q quickly redistributes itself over the entire surface area of the person. Estimate the maximum potential difference that the person can develop with respect to the floor.
Let us try to estimate the maximum “static electricity” charge that might result during each walking step across an insulating floor. Assume the sole of a person’s shoe has area A ≈ 150 cm 2 , and when the foot is lifted from the ground during each step, the sole acquires an excess charge Q from rubbing contact with the floor. ( a ) Model the sole as a plane conducting surface with Q uniformly distributed across it as the foot is lifted from the ground. If the dielectric strength of the air between the sole and floor as the foot is lifted is E S = 3 × 10 6 N/C, determine Q max , the maximum possible excess charge that can be transferred to the sole during each step. ( b ) Modeling a person as an isolated conducting sphere of radius r ≈ 1 m, estimate a person’s capacitance. ( c ) After lifting the foot from the floor, assume the excess charge Q quickly redistributes itself over the entire surface area of the person. Estimate the maximum potential difference that the person can develop with respect to the floor.
Let us try to estimate the maximum “static electricity” charge that might result during each walking step across an insulating floor. Assume the sole of a person’s shoe has area A ≈ 150 cm2, and when the foot is lifted from the ground during each step, the sole acquires an excess charge Q from rubbing contact with the floor. (a) Model the sole as a plane conducting surface with Q uniformly distributed across it as the foot is lifted from the ground. If the dielectric strength of the air between the sole and floor as the foot is lifted is ES = 3 × 106 N/C, determine Qmax, the maximum possible excess charge that can be transferred to the sole during each step. (b) Modeling a person as an isolated conducting sphere of radius r ≈ 1 m, estimate a person’s capacitance. (c) After lifting the foot from the floor, assume the excess charge Q quickly redistributes itself over the entire surface area of the person. Estimate the maximum potential difference that the person can develop with respect to the floor.
Consider a system with three similar conducting spheres each with charge +q initially separated from each other. As all spheres come in contact with each other, what is the resulting net charge of the system?
Compute for the work done, in millijoules, in moving a 3-nC charge from A(4, 0, 0) m to B(4, 0, 0) m against the electric field due to a disk charge of radius 2 m on the plane x = 0 centered at the origin. The disk has a total charge of 9 mC.
Compute for the work done, in millijoules, in moving a 8-nC charge from A(0, 0, 1) m to B(0, 0, 7) m against the electric field due to a ring charge of radius 9 m on the plane z = 0 centered at the origin. The ring has a total charge of 8 mC.
Chapter 24 Solutions
Physics for Scientists & Engineers with Modern Physics [With Access Code]
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