Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and can become large enough to produce dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of 70.0 μC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has radius of 2.00 cm. (a) What is the electric potential of each sphere? r = 6.00 m: V V r = 2.00 cm: (b) What is the electric field at the surface of each sphere? r = 6.00 m: V/m O V/m O r = 2.00 cm: magnitude direction magnitude direction ---Select--- ---Select---

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter23: Electric Forces
Section: Chapter Questions
Problem 42PQ: Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant...
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Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge
to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and can become large enough to produce
dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of
70.0 μC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of
2.00 cm.
(a) What is the electric potential of each sphere?
r = 6.00 m:
V
V
r = 2.00 cm:
(b) What is the electric field at the surface of each sphere?
r = 6.00 m:
V/m
r = 2.00 cm:
magnitude
direction
magnitude
direction
---Select---
---Select---
V/m
O
HER
C
Transcribed Image Text:Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and can become large enough to produce dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of 70.0 μC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of 2.00 cm. (a) What is the electric potential of each sphere? r = 6.00 m: V V r = 2.00 cm: (b) What is the electric field at the surface of each sphere? r = 6.00 m: V/m r = 2.00 cm: magnitude direction magnitude direction ---Select--- ---Select--- V/m O HER C
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