Question

Find the electrostatic potential of an octupole made of the following charges: q1 = -q, q2 = +2 q, q3 = -2 q and q4 = +q, the charges are placed along the x-axis with the following coordinates: x1 = -2 a, x2 = -a, x3 = a and x4 = 2 a. Evaluate the potential as an expansion in Legendre polynomials at a point P in the xy-plane.

Answer #1

Three charges q1=1.00 μC,
q2=−1.00 μC, and
q3=2.00 μC are placed in the
xy plane with q1 at the origin of the
coordinates, q2 on the x axis at
x2=3.00 m, and q3 at
x3=2.00 m and y3=3.00 m.
What is the total electric potential energy of the three-charge
system measured from the point with all of them infinitely
apart?
_________mJ

The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 2.74 μC,
x1 = 5.02 cm, y1 = 0.712 cm
and q2 = -3.79 μC, x2 =
-2.30 cm, y2 = 1.88 cm. Find the
(a) magnitude and (b) direction
(with respect to +x-axis in the range (-180°;180°]) of the
electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...

The charges and coordinates of two charged particles held fixed
in an xy plane are q1 = 3.09 μC,
x1 = 3.70 cm, y1 = 0.604 cm
and q2 = -5.45 μC, x2 =
-2.27 cm, y2 = 1.52 cm.
Find the (a) magnitude and (b)
direction (with respect to +x-axis in the range (-180°;180°]) of
the electrostatic force on particle 2 due to particle 1. At what
(c) x and (d) y
coordinates should a third particle of charge...

Three point charges are on the x axis:
q1 is at the origin, q2 is
at x = +3.4 m, and q3 is at x
= +6.5 m. Find the electrostatic potential energy of this system of
charges for the following charge values. (Assume the potential
energy is zero when the charges are very far from each other.)
1)
(a) q1 = q2 =
q3 = +4.2 µC
2)
(b) q1 = q2 = +4 µC and
q3 = -4...

Three point charges are on the x axis:
q1 is at the origin, q2 is
at x = +3.1 m, and q3 is at x
= +5.8 m. Find the electrostatic potential energy of this system of
charges for the following charge values. (Assume the potential
energy is zero when the charges are very far from each other.)
1) q1 = q2 =
q3 = +2.7 µC _____mJ
2) q1 = q2 = +2.7 µC and
q3 = -2.7 µC____mJ...

Three point charges are on the x axis: q1 is at the
origin, q2 is at x = +3.8 m, and q3 is at x =
+5.1 m. Find the electrostatic potential energy of this system of
charges for the following charge values. (Assume the potential
energy is zero when the charges are very far from each other.)
(a) q1 = q2 = q3 = +2.7 µC
(b) q1 = q2 = +3.3 µC and q3 =
-3.3 µC
(c)...

Q1 = +2.1µC and is located at (5, 0), Q2
= -8.4µC and is located at (0, -7), and Q3 = +6.5 µC and
is located at (-8, 6). A ball with a charge of QB =
+4.2µC is placed at the origin (0,0). (units of distance measured
in meters)
Sketch the setup and make an FBD for the ball.
Find the force from Q1 on the ball in component
form?
Find the force from Q2 on the ball in...

Two point charges, Q1 = 3.6 μC and Q2 = -1.4 μC , are placed on
the xx axis. Suppose that Q2 is placed at the origin, and Q1 is
placed at the coordinate x1 = − 6.0 cm.
1. At what point(s) along the x axis is the electric field zero?
Determine the x-coordinate(s) of the point(s).
2. At what point(s) along the x axis is the potential zero?
Determine the x-coordinate(s) of the point(s).

Two-point charges, Q1 = 3.0 μC and Q2 = -2.0 μC , are placed on
the x-axis. Suppose that Q2 is placed at the origin, and Q1 is
placed at the coordinate x1 = − 5.0 cm.
At what point(s) along the xx axis is the electric field zero?
Determine the xx-coordinate(s) of the point(s).
At what point(s) along the xx axis is the potential zero?
Determine the xx-coordinate(s) of the point(s).

Two point charges, Q1 = 3.6 μC and Q2 = -1.6 μC , are placed on
the x axis. Suppose that Q2 is placed at the origin, and Q1 is
placed at the coordinate. x1 = -4.0 cm
At what point(s) along the xx axis is the electric field zero?
Determine the xx-coordinate(s) of the point(s).
At what point(s) along the xx axis is the potential zero?
Determine the xx-coordinate(s) of the point(s).

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