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Jim Guinn’s PHYS2212 Assignment #4 Solutions
1.
Consider a uniform electric field,
= (2.00kN/C) .
a)
What is the flux of this field through a square of side 10.0cm in plane parallel to the y
z plane?
Since the electric field is uniform over the area of the square, the flux is given by
Φ
=
·
= E A = (2.00x10
3
N/C) (10.0x10
2
m)
2
=
Φ
= 20.0N m
2
/C
b)
What is the flux through the same square if the normal to its plane makes a 30.0
o
angle
with the xaxis?
In this case
Φ
=
·
= E A cos30.0
o
= (2.00x10
3
N/C) (10.0x10
2
m)
2
cos30.0
o
=
Φ
= 17.3N m
2
/C .
2.
An electric field is
= (200.N/C) for x > 0 and
= (200.N/C) for x < 0 .
A cylinder of
length 20.0cm and radius 5.00cm has its center at the origin and its axis along the xaxis such
that one end is at x = 10.0cm and the other is at x = 10.0cm.
a)
What is the flux through each end?
Each end of the cylinder has its outward normal pointing along the field direction; hence,
Φ
= E A = E (
π
r
2
) = (200.N/C)
π
(0.0500m)
2
=
Φ
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This note was uploaded on 01/23/2012 for the course PYSICS 2212 taught by Professor Jimguinn during the Fall '11 term at Georgia Perimeter.
 Fall '11
 JimGuinn

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