Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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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 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?
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
Chapter 22 Solutions
Physics for Scientists and Engineers
Ch. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - Prob. 10P
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