# 1. given potential V= f(x,y,z) how do

1.      Explain the
objectives of Lab_1.

The
first objective of this lab is to determine if the equipotential lines for two-point
charges of equal magnitude, but opposite charges match the theoretical
expectations. The second objective of this lab is to determine what the
equipotential lines look like for a specific placement of point charges. The
third objective for this lab is to determine the electrical field at various
points on a dipole. The fourth objective for this lab is to determine the
electric field intensity for a negative line charge and the electric field
intensity between two oppositely charged line charges. The final objective for
this lab is to analysis a given pattern of equipotential lines.

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2.      For the
finite line charge in Fig. 1 write an expression for electric field.

Fig. 1

3.
What is the relationship between electric field and
potential? For a given potential V=
f(x,y,z) how do you determine the electric field.

The relationship between electric
field and potential is that the electric field is equal to the negative
gradient of the electric potential. You would determine the electric field by deriving
f(x) with respect to x, f(y) with respect to y, and f(z) with respect to z. Then you would add
them together and multiple by negative one.

4.
What is an electric dipole? Write an expression for electric
potential and electric flux density in vacuum for a dipole at far field.

An electric dipole is when two
charged particles with equal magnitude, but opposite charges are separated by a
small distance.

5.      Explain
equipotential lines and plot an equipotential line for a point charge.

Equipotential lines are similar contour lines on a map with trace
lines of equal electric potential. Equipotential lines are drawn such that they
are always perpendicular to the electric potential line and movement along
these lines always require zero work.

1.      Explain the
objectives of Lab_1.

The
first objective of this lab is to determine if the equipotential lines for two-point
charges of equal magnitude, but opposite charges match the theoretical
expectations. The second objective of this lab is to determine what the
equipotential lines look like for a specific placement of point charges. The
third objective for this lab is to determine the electrical field at various
points on a dipole. The fourth objective for this lab is to determine the
electric field intensity for a negative line charge and the electric field
intensity between two oppositely charged line charges. The final objective for
this lab is to analysis a given pattern of equipotential lines.

2.      For the
finite line charge in Fig. 1 write an expression for electric field.

Fig. 1

3.
What is the relationship between electric field and
potential? For a given potential V=
f(x,y,z) how do you determine the electric field.

The relationship between electric
field and potential is that the electric field is equal to the negative
gradient of the electric potential. You would determine the electric field by deriving
f(x) with respect to x, f(y) with respect to y, and f(z) with respect to z. Then you would add
them together and multiple by negative one.

4.
What is an electric dipole? Write an expression for electric
potential and electric flux density in vacuum for a dipole at far field.

An electric dipole is when two
charged particles with equal magnitude, but opposite charges are separated by a
small distance.

5.      Explain
equipotential lines and plot an equipotential line for a point charge.

Equipotential lines are similar contour lines on a map with trace
lines of equal electric potential. Equipotential lines are drawn such that they
are always perpendicular to the electric potential line and movement along
these lines always require zero work.