You are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's surface to be 194 N/C directed downward. (Assume the radius of the Earth is 6.37 x 106 m.) (a) Determine the surface charge density (in C/m2) on the ground. C/m² (b) Imagine the surface charge density is uniform over the planet. Determine the charge (in C) of the whole surface of the Earth. C (c) Determine the Earth's electric potential (in V) due to the charge found in (b). (d) Determine the difference in potential (in V) between the head and the feet of a person 1.50 m tall. (Ignore any charges in the atmosphere.) V

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter25: Gauss’s Law
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Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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You are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's
surface to be 194 N/C directed downward. (Assume the radius of the Earth is 6.37 x 106 m.)
(a) Determine the surface charge density (in C/m²) on the ground.
C/m²
(b) Imagine the surface charge density is uniform over the planet. Determine the charge (in C) of the whole surface of the Earth.
C
(c) Determine the Earth's electric potential (in V) due to the charge found in (b).
V
(d) Determine the difference in potential (in V) between the head and the feet of a person 1.50 m tall. (Ignore any charges in the atmosphere.)
V
Transcribed Image Text:You are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's surface to be 194 N/C directed downward. (Assume the radius of the Earth is 6.37 x 106 m.) (a) Determine the surface charge density (in C/m²) on the ground. C/m² (b) Imagine the surface charge density is uniform over the planet. Determine the charge (in C) of the whole surface of the Earth. C (c) Determine the Earth's electric potential (in V) due to the charge found in (b). V (d) Determine the difference in potential (in V) between the head and the feet of a person 1.50 m tall. (Ignore any charges in the atmosphere.) V
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