Question

Asked Oct 17, 2019

1-a) Consider the following configuration of point charges: charge q at ~r1 = (a, 0, 0); charge −q

at ~r2 = (−a, 0, 0); charge q at ~r3 = (0, a, 0); and finally charge −q at ~r4 = (0, −a, 0); so a total of

four point charges. Determine the electrostatic potential V (assuming that V = 0 as |~r| → ∞) at

a generic point on the z-axis.

b) Determine the electrostatic energy U stored in this configuration of charges.

Step 1

- a) Potential due to discrete system of charges is given by,

Step 2

Here, *V _{r}* is the potential,

Use the above equation and plug in the required values and find potential due to four charges at *z*-axis.

Step 3

Hence, potential at each points on *z*-axis is zero.

b) Potential energy, *U* due to configuration of charges is the sum of the all wo...

Tagged in

Q: A weight with mass ?w=250 g is tied to a piece of thread wrapped around a spool, which is suspended ...

A: Write the net force experienced by mass mw.

Q: A parcel of air moving in a straight tube with a constant acceleration of 24.00 m/s2 has a velocity ...

A: Given information:The acceleration of the air parcel of air (a) = 24 m/s2The velocity of the parcel ...

Q: A 40.0-kg boy, riding a 2.50-kg skateboard at a velocity of +5.30 m/s across a level sidewalk, jumps...

A: In the above problem, the skateboard and the boy considered to be a single system are moving horizon...

Q: A tennis ball and a bag filled with sand have the same mass. They are dropped from the same height a...

A: Impulse is the change of momentum of an object when the object is acted upon by a force for an inter...

Q: 3. Starting from rest, a 62 g ball rolled down the tube like the one to be used during this experime...

A: (3)The frictional energy loss will be the change in potential energy.

Q: A father demonstrates projectile motion to his children by placing a pea on his fork's handle and ra...

A: Velocity along x direction is,

Q: A. Rank the balls from greatest to least by their horizontal components of velocity. Rank from great...

A: consider the diagram below, which shows the vertical component, vv and horizontal component, vH o...

Q: To avoid a collision while traveling at a speed of 19 m/sec and descending a steep mountain pass wit...

A: A grade of 4.3% signifies a rise of 4.3m per 100 m run.The formula to express the ratio between the ...

Q: A Ferrari traveling well over the posted speed limit, passes a parked Tennessee State Trooper who de...

A: The average speed of the Ferrari is