Electricity and Magnetism Answers

As a physicist, you are tasked to head the committee that will make a creative and interesting;

(a) a new system of units to describe something that interest you. Your unit should be described using at least two subunits. For example, you can decide to measure the quality of songs using a new unit called song awesomeness. Song awesomeness is measured and by: the number of songs downloaded and the number of times the song was used in movies.

(b) create an equation that shows how to calculate your unit. Then using your equation, create a sample dataset that you could graph. Are your two subunits related linearly, quadratically, or inversely? Your output must be designed to apply scientific reasoning and critical thinking using physics principles.

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)