EBK PHYSICS FOR SCIENTISTS AND ENGINEER
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
6th Edition
ISBN: 9781319321710
Author: Mosca
Publisher: VST
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Chapter 22, Problem 26P
To determine

The electric field at the center of the base of a hemispherical shell.

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A very thin spherical shell of radius a has a total charge of Q distributed uniformly over its surface . Find the electric field at points inside and outside the shell.
A line of charge is surrounded by another charged cylindrical shell. The line and the shell are concentric. Charge density of the line is 1 = -6 µC/m. Cylindrical shell is made up of a conducting material with inner radius 7 cm and outer radius 10 cm, and cylinder height 25 cm. The charge on the shell is Q = 4 µC. 11. a) Find the electric field at points 3 cm away from the line. b) Show the charge distribution of the cylinder and find the electric field at a point inside the shell. c) Find the electric field at a point 12 cm from the center. 25cm Answers: a) E = 3.6 x106 N/C (radially inward); b) E=0 ; d) E= 1.5 x 106 N/C (radially outward) -1.5 μC +1.5 µC 42.5 μC
A non-uniformly charged semicircle of radius R=31.4 cm lies in the xy plane, centered at the origin, as shown. The charge density varies as the angle θ (in radians) according to λ=4.15θ, where λ has units of  μC. a) What is the total charge on the semicircle? b) What is the y component of the electric field at the origin?

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