I have `Homework in physics 2

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oints) A uniform electric field of 1.00 N/C is set up by a uniform distribution of charge in the xy plane.
is the electric field inside a metal ball placed 0.500 m above the xy plane?
00 N/C
PHYS 206.002: Electricity and Magnetism
1.00 N/C
250 N/C
ries depending on the position inside the ball.
Assignment: Week 5
1. (25points) ((Problems 17 in textbook / Chapter 24) An infinitely long line charge having a uniform charge per
oints) An infinitely long
charge
having
a uniform
per unit
length
? lies
a distance
d from point
unit line
length
? lies
a distance
d charge
from point
O as
shown
below.
Determine
the total electric flux through the
shown below. Determine the total electric flux through the surface of a sphere of radius R centered at O
surface of a sphere of radius R centered at O resulting from this line charge. Consider bother cases, where (a)
ing from this line charge. Consider bother cases, where (a) R < d and (b) R > d
R < d and (b) R > d.
2. (25pints) (Problems 35 in textbook / Chapter 24)
A solid sphere of radius 40.0 cm has a total positive charge of 26.0 cm uniformly distributed throughout its
volume. Calculate the magnitude
of the electric field (a) 0 cm, (b) 10.0 cm, (c) 40 cm, and (d) 60.0 cm from
1
the center of the sphere.
1
3. (25pints)
Consider a thin, spherical shell of radius 14.0 cm with a total charge of 32.0 µC distributed uniformly on its
surface. Find the electric field (a) 10.0 cm and (b) 20.0 cm from the center of the charge
4. (25pints) (Question 56 in textbook, Chapter 24)
Two infinite, conducting sheets of charge are parallel to each other as shown below. The sheet on the left has a
uniform surface charge density s, and the one on the right has a uniform charge density -s. Find the electric
field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (Hint: an infinity plane
of positive charge with uniform surface charge density s generates an electric field E = s/(2 0 ))
2

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