Question

Find the electrostatic potential of an octupole made of the following charges: q1 = -q, q2...

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.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Three charges q1=1.00 μC, q2=−1.00 μC, and q3=2.00 μC are placed in the xy plane with...
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...
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...
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...
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...
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...
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...
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...
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).
Charges q1, q2, q3, and q4 are placed in sequential order at the corners of a...
Charges q1, q2, q3, and q4 are placed in sequential order at the corners of a square of side 200 mm. Determine the direction of the force on q4 given q1 = q3 = 5 μC, q2= -10 * 21/2 μC and q4= -5 μC.
Two-point charges, Q1 = 3.0 μC and Q2 = -2.0 μC , are placed on the...
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).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT