Electricity and Magnetism Answers

A point charge is placed at each corner of a square with side length a. All charges have

magnitude q. Two of the charges are positive and two are negative. What is the direction of the

net electric field at the center of the square due to the four charges, and calculate its magnitude

in terms of q and a? (C3, CLO-2, PLO-2)

Two charges lie along the x-axis. One positive charge, q1 = 15 μC, is at x= 3.0m, and another positive charge, q2 = 6.0 μC, is at the origin. At what point on the x-axis is the

resultant electric field zero?

In an electrostatic field, path 1 between points A and B

 is twice as long as path 2. The electrostatic work done on a negatively charged particle that moves from A to B along path 1 is W₁.

How much work is done on this particle if it later goes from A to Balong path 2?

Express your answer in terms of W₁.

- a charge +Q at a distance 2d from a charge -Q and a point X at a distance d from -Q what is the field strength at X numerically using SI units.

Particle A carrying a charge of 9.0 nC is at the origin of a Cartesian coordinate system.

(a) What is the electrostatic potential (relative to zero potential at infinity) at a position r = 4.0 m from the origin?

(b) With particle A held in place at the origin, how much work must be done by an outside agent to bring particle B, also carrying a 9.0-nC charge, from infinity to r = 4.0 m?

(c) Particle B is returned to infinity, and particle A is moved to r = 4.0 m and held there. How much work must be done by an outside agent to bring particle B from infinity to the origin?

Electrostatic work W is done on a charged particle as the particle travels from point A to point B in an electric field. You then apply a force to move the particle back to A, increasing its kinetic energy by an amount equal to 2W.

How much work did you do?

Express your answer in terms of W.

In an electrostatic field, path 1 between points A and B is twice as long as path 2. The electrostatic work done on a negatively charged particle that moves from A to B along path 1 is W1.

How much work is done on this particle if it later goes from A to B along path 2?

Express your answer in terms of W1.

If (x,y,z)=3x²y-yz?, find grad at point (2,2,-1)

A metal sphere with a negative charge of 3.00 µC is placed 12.0 cm from another similar metal sphere with a positive charge of 2.00 µC. The two spheres momentarily touch, and then return to their original positions. Calculate the electrostatic force acting on the two metal spheres.