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.
A ring and a disk both are centered at (2, 9, 0) and are both lying on the plane y = 9. The ring has a radius of 6 m, while the disk has a radius of 7 m, so that the ring is around the disk. Determine the magnitude of the electric field in kV/m at point (2, -8, 0) if the ring has a total charge of -7 mC and the disk has a total charge of 7 mC. All coordinates are measured in meters.
Two charges 2 µC and -2 µC are placed on yaxis at y=-4 m and y3D4 m. Determiìne the magnitude and direction of electric field on axis at x 3m. Input the magnitude (in N/C) here and make
sure the direction is shown in the work you will upload.
Two charges 2 uC and -2 uC are placed on yaxis at y=-4 m and y=4 m. Determine the magnitude and direction of electric field on axis at x= 3m. Input the magnitude (in N/C) here and make
sure the direction is shown in the work you will upload.
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