Question

Two charges are on the z-axis, charge +q at z = +a and −q at z...

Two charges are on the z-axis, charge +q at z = +a and −q at z = −a. (Hint: This is NOT a continuous charge distribution but two discrete point charges.)

(a) Find the electric potential V (x, y, z) at a field point r = (x, y, z).

(b) Find the potential V (x, y, 0) at a point (x, y, 0) on the xy-plane.

(c) What is the total electrostatic energy of this system?

(d) Using the result of part (c), find out how much work it takes to move the charges closer so that their separation is a rather than 2a.

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
Two point charges are on the y axis. A 3.10-µC charge is located at y =...
Two point charges are on the y axis. A 3.10-µC charge is located at y = 1.25 cm, and a -2-µC charge is located at y = −1.80 cm. (a) Find the total electric potential at the origin. ________ V (b) Find the total electric potential at the point whose coordinates are (1.50 cm, 0). ________ V
A line charge sits on the z-axis from z=0 to z=a. The charge density, lambda, varies...
A line charge sits on the z-axis from z=0 to z=a. The charge density, lambda, varies linearly with the expression: lambda=(lambda0/a)z. a, What is the electric potential, V, due to this line charge, everywhere on the x-axis? b, How much mechanical work is needed to move a charge Q from z=+infinite to the position on the x-axis at x=d?
Two positive point charges are held fixed on the x-axis. Point charge A is located at...
Two positive point charges are held fixed on the x-axis. Point charge A is located at the origin, and point charge B is located at the position x = −5.00 cm = −5.00✕10-2 m (on the negative x-axis). The magnitude of charge A is two times greater than that of charge B: qA = 2qB. ke = 8.9876✕109 Nm2/C2 (A.) The electric force on charge A has magnitude 0.344 mN = 0.344⨯10-3 N. What is the electric force (magnitude and...
Two point charges are placed on the x-axis. The charge +2q is at x = 1.5...
Two point charges are placed on the x-axis. The charge +2q is at x = 1.5 m, and the charge −q is at x = −1.5 m. (a) There is a point on the x-axis between the two charges where the electric potential is zero. Where is this point? x = ______________ m (b) The electric potential also vanishes in one of the following regions. Identify the appropriate region. Is it: Region 1: 5.0 m > x > 1.5 m...
Two charges are located on the X axis: a +300 pC charge at x = 2.0...
Two charges are located on the X axis: a +300 pC charge at x = 2.0 cm, and a -400 pC charge at x = -2.0 cm. Find the X Y components of the electric field at a point on the Y axis with the coordinates (0, 1.0 cm).
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.
Two point charges are fixed on the y axis, a negative point charge q1 = -25uC...
Two point charges are fixed on the y axis, a negative point charge q1 = -25uC at y1 = +0.22m and a postive charge q2 at y2 = +0.34m. A third point charge q=+8.4uC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 27N and points in the +y direction. Determine the magnitude of q2.
Consider an infinitely long flat sheet of charges of width 2a. It is parallel to the...
Consider an infinitely long flat sheet of charges of width 2a. It is parallel to the axis y and lies in (xy) plane in between x=-a and x=+a. The charges are distributed uniformly, with surface density σ. Find an expression for the electrostatic field E at height Z above the midline of the charged sheet (i.e. above y axis). Hint: As a starting point, you can use the formula for infinitely long line of charges.
Two charges are fixed in place on the x-axis as shown. The charge at x =...
Two charges are fixed in place on the x-axis as shown. The charge at x = 0 is negative and has magnitude q = 2 μCoulombs (1 μCoulomb = 10-6 Coulombs). The charge at x = d, (d = +12 cm), is positive and has magnitude Q = 4 μCoulombs. Find a point x = xo along the x-axis at which the electric field is zero. xo =____cm
Two point charges of −Q and Q are fixed at x=−a and x=a on the x...
Two point charges of −Q and Q are fixed at x=−a and x=a on the x axis, respectively as shown in Figure 1. Another point charge of q and mass m is released at x=x0 at rest and it is free to move. Find a) the electric field vector, −→E (both magnitude and direction) at any x and b) the ultimate speed of particle of mass m.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT