Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface. (a) What is the amount of excess charge on the Earth, noting the electric field of a conducting sphere is equivalent to a point charge at its center, in coulombs? (b) What magnitude of acceleration, in meters per second squared, will the field produce on a free electron near Earth’s surface? (c) What mass object, in kilograms, with a single extra electron will have its weight supported by this field?

Earth has a net charge that produces an electric field of approximately 150 N/C downward at its surface. (a) What is the amount of excess charge on the Earth, noting the electric field of a conducting sphere is equivalent to a point charge at its center, in coulombs? (b) What magnitude of acceleration, in meters per second squared, will the field produce on a free electron near Earth’s surface? (c) What mass object, in kilograms, with a single extra electron will have its weight supported by this field?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 40PQ

See similar textbooks

Similar questions

What is the magnitude of the electric force between two electrons separated by adistance of 0.10 nm (approximately the diameter of an atom)?
In a rectangular coordinate system a positive point charge q = 6.00 x 10-9 C is placed at the point x = +0.150m, y = 0, and an identical point charge is placed at x = -0.150m, y = 0. Find the x- and y-components, the magnitude, and the direction of the electric field at x = 0.300 m, y = 0. (with precise solution please) A. Ex = 129N/C and Ey = -510N/C with direction of 284 degrees counterclockwise from +x axis B. Ex = 2663.1 N/C and Ey = 0 to the +x direction C. Ex = 0 and Ey = 0 D. none of the above
A spherical mass of 500 g is in an electric field of 10N/C directly vertically upward. How much charge would have to be on the sphere to levitate it in the combined electric and gravitational field?
Consider the symmetrically arranged charges in the figure, in which Qa=Qb=−1.95 μC and Qc=Qd=+1.95 μC. Determine the direction of the electric field at the location of charge q . Calculate the magnitude of the electric field E at the location of q given that the square is 6.75 cm on a side.
What is the size of the electric field N / C created by the 5μC charge in its origin at a distance of 5 meters from itself?
What is the magnitude of a point charge that would create an electric field of 1.00N/C at points 1.00 m away?
A net charge is placed onto a spherical conductor. Which of the following best describes the symmetry of the charge distribution, and therefore the resulting electric field?
Under normal circumstances, the earth’s electric field outdoors near ground level is uniform, about 100 N/C, directed down. What is the electric force on a free electron in the atmosphere? What acceleration does this force cause?
A charge of 10 nC is spread uniformly throughout the volume of a sphereof radius 5 cm. What is the magnitude of the electric field at radial distance of (a) 2 cmand (b) 10 cm?
What is the magnitude of the electric field produced at the distance of 1.00m by an infinite line of charge of linear charge density equal to 2.34*10^-5 C?
Two charges Q1 = -2 C and Q2 = -2 C are at the two vertices of an equilateral triangle, having a side length of 0.5 meters. What amount of electric field intensity is at the third vertex of the triangle if a positive test charge is placed?
Imagine you have four identical charge q, placed on the corners of a square. If q = 4.69 nC, then the side of the square is s = 9.65 cm, calculate the magnitude of the electric field acting on the charge at the upper right corner. NOTE: Final answer in SIX decimal places. Then, state the SI unit of the variable being sought off.