A lab technician wishes to model the process by which an airplane allows any charge build-up acquired in flight to leak off. She is aware that planes have needle shaped metal extensions on the wings and tail to accomplish this and that the process works, because the electric field around the needle is much larger than around the body of the plane, causing dielectric breakdown of the air and discharging the plane. Her model consists of two conducting spheres connected by a conducting wire. The sphere representing the plane has a radius of 6.00 m, the sphere representing the tip of the needle has a radius of 2.00 cm, and a total charge of 68.0 µC is placed on the combination. (a) Determine the electric potential (in V) at the surface of each sphere. V large sphere V V small sphere V (b) Determine the electric field (in V/m) at the surface of each sphere. magnitude |Elarge spherel V/m %3! direction away from the sphere magnitude |Esmall sphere! V/m direction away from the sphere

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A lab technician wishes to model the process by which an airplane allows any charge build-up acquired in flight to leak off.
She is aware that planes have needle shaped metal extensions on the wings and tail to accomplish this and that the
process works, because the electric field around the needle is much larger than around the body of the plane, causing
dielectric breakdown of the air and discharging the plane. Her model consists of two conducting spheres connected by a
conducting wire. The sphere representing the plane has a radius of 6.00 m, the sphere representing the tip of the needle
has a radius of 2.00 cm, and a total charge of 68.0 µC is placed on the combination.
(a) Determine the electric potential (in V) at the surface of each sphere.
V
Vlarge sphere
=
V
small sphere
V
(b) Determine the electric field (in V/m) at the surface of each sphere.
magnitude
TElarge sphere
V/m
=
direction
away from the sphere
magnitude
TEsmall sphere
V/m
direction
away from the sphere
Transcribed Image Text:A lab technician wishes to model the process by which an airplane allows any charge build-up acquired in flight to leak off. She is aware that planes have needle shaped metal extensions on the wings and tail to accomplish this and that the process works, because the electric field around the needle is much larger than around the body of the plane, causing dielectric breakdown of the air and discharging the plane. Her model consists of two conducting spheres connected by a conducting wire. The sphere representing the plane has a radius of 6.00 m, the sphere representing the tip of the needle has a radius of 2.00 cm, and a total charge of 68.0 µC is placed on the combination. (a) Determine the electric potential (in V) at the surface of each sphere. V Vlarge sphere = V small sphere V (b) Determine the electric field (in V/m) at the surface of each sphere. magnitude TElarge sphere V/m = direction away from the sphere magnitude TEsmall sphere V/m direction away from the sphere
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