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.
A wire with 4 meters length and constant charge density lambda = 4nC/m is placed diagonally on x-y plane. One end is at the origin and it makes 45 degrees with the x-axis. Find the integral expression for Ex at x=7 y=10
(Please help as soon as available. Thank you very much in advance)
A spherical metallic object with a hole inside initially holds a net
charge of 94.9 nC; the hole is initially charge-free. Then a particle with
a charge of 26.1 nC is placed at the center of the hole (held by a perfect
non-polarizable insulating material). The value of the net charge on the
outer surface of the conductor, upon reaching electrostatic equilibrium, is
most nearly
(A) –68.8 nC.
(B) –121 nC.
(C) 68.8 nC.
(D) 42.7 nC.
(E) 121 nC.
Chapter 24 Solutions
Physics for Scientists and Engineers with Modern Physics
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