hw: all chapter 3 problems and exercises reading: chapter 4
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Hw: All Chapter 3 problems and exercisesReading: Chapter 4
Chapter 3. Electric Potential
• Constant electric field
• The Electric Potential: V
- Single Charge
- Dipole
EqF
- conservative? potential energy function?
)]()([)]()([1
lim 12120
00
2
1
rVrVrUrUq
rdEq
r
r
ExxVConstE )(
For a point charge at the origin:
Cr
qrV
04
1)(
Ch3 Quiz 1
First name______________________ Last name ___________________
Section number______
There is an electric field given by
xiEE
0
where E0 is a constant. What is the difference in the value of the electric potential due to this electric field between the origin and the point x=a, y=b?
Ch3 Quiz 2
First name______________________ Last name ___________________
Section number______
There is an electric field given by
yx iyixE
22
where and are constants. What is the difference in the value of the electric potential due to this electric field between the origin and the point x=a, y=b?
Ch3 Quiz 3
There is an electric field created by some source at the origin given by
rir
cE
4
where c is a constant and r is the distance from the origin; points out from the origin. What is the difference in the value of the electric potential due to this electric field between the point x=a, y=b and the point at infinity?
ri
What is the potential function corresponding to this electric field if instead of being at the origin the source of the electric field is at point x=a, y=b?
In electrostatics:
y
UF
x
UF yx
y
VE
x
VE yx
If we know V(x,y) we can find the components of electric field and xE yE
In electrostatics, the electric field is conservative:
0rdE
1)The electric potential V in a region of space is given by
)3(),( 22 yxAyxV where A is a constant. Derive an expression for the electric field at any point in this region.
2)The electric potential V in a region of space is given by
33)(
r
crV
where c is a constant. The source of the field is at the origin. Derive an expression for the electric field at any point in this region.
Have a great day!
Hw: All Chapter 3 problems and exercisesReading: Chapter 4