A different review

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A different review

• A review of the following topics by working on
  problems

1. Electric charge, potential, force, field and
   flux. Coulomb's Law Gausss Law.
2. Capacitance and resistance. Ohms Law.
3. Circuits. Kirchhoffs Rules.

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Electric field of a dipole
Calculate the electric field of a point on the x
and y axis, far away from an electric dipole.
Formula to use
For a point on x
P
x
x
3

Calculate the electric field of a point on the x
and y axis, far away from an electric dipole.
For a point on y, the field y components cancel.
P
x
x
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Electric field of a charged rod
Calculate the electric field at the origin O of
the coordinator system, generated by an evenly
charged rod with total charge Q, with length l,
and placed distance a away from O on the x-axis.
Formula to use
O
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Force/field equilibrium
Two small positively charged beads are fixed at
the ends of a horizontal insulating rod. A third
small charged bead is free to slide on the rod.
At what position is the third bead in
equilibrium? Is this a stable equilibrium?
Formula to use
q3
x
O
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stable equilibrium?
q3
Translate prove that the electric potential
energy of the whole system when bead 3 at
position x is the minimum.
x
O
Formula to use
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Gausss Lawa type X problem?
A sphere of radius 2a is made of insulating
material that has uniform volume charge density
?. Assume that the material itself does not
affect the electric field (i.e., ignore its
dielectric effect). A spherical cavity of radius
a is made in the original sphere as shown in the
figure. Calculate the electric field in the
cavity.
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Some easier problemsFinding the Ceq
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Some easier problemsFinding the Ceq
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Kirchhoffs rules
Determine the current in each branch.