Purchase Solution

Force and torque on a dipole placed near a grounded plane

Not what you're looking for?

Ask Custom Question

1. A dipole p is placed at a distance x = a from the grounded conducting plane. The direction of p makes 30 degree with the plane. Find

a. The force.
b. The torque on the dipole.

Purchase this Solution
Solution Summary

A detailed solution is given. Force and torque on a dipole placed near a grounded plane is determined. The direction of p which makes 30 degrees with a plane is determined.

Solution Preview

I assume that the dipole is pointing away from the plane at an angle of 30°. To solve this problem you introduce a fictitious "image" dipole. This dipole is at a distance a on the opposite side of the plane and has the same magnitude |p|. It points at 30° toward the plane such that the component of p along the plane is opposite to the component of the real dipole along the plane. The field of the fictitious image dipole is then the same as the field of the induced charges on the grounded plane.

The force can be calculated from the formula:

F = (p dot nabla) E

Here E is the field of image dipole. Let's introduce spherical coordinates such that the image ...

Purchase this Solution
Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.

Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

Basic Physics

This quiz will test your knowledge about basic Physics.

View More Free Quizzes
Related BrainMass Solutions

  • Electrostatics - Electric dipole

    Hence, force experienced by a charge Q placed at that point is QE) 1) Net force acting on the dipole = 0 (as forces F and -F cancel out). 2) Torque acting on the dipole = τ = Force x Perpendicular distance between the line of action of the

  • Torque and potential energy in a current carrying coil

    The field exerts a torque on the dipole, which tries to align the dipole in the direction of the field.

  • Torque on a current carrying loop placed in a magnetic field

    388320 Torque on a current carrying loop placed in a magnetic field The plane of a rectangular loop of wire with a width of 5.0 cm and a height of 8.0 cm is parallel to a magnetic field of magnitude 0.17 T. The loop carries a current of 6.5 A.

  • Torque on a Current Loop

    the magnetic force (including both sides of the coil) is found using T = N I A B sin(t), where T is the torque on a coil and t is the angle between the magnetic field and the normal plane of the coil.

  • Magnetic fields: Torque on a current carrying square wire

    The torqueon a current carrying loop due to external magnetic field B is given by Here Pm is the magnetic dipole moment of the loop whose magnitude is given by Pm = I*A Here I is the current and A is the area of the loop.

  • Least amount of current through a coil

    The cylinder is released on a plane inclined at an angle theta to the horizontal, with the plane coil parallel to the incline plane.

  • For and troque acting on a current carrying coil

    Calculate the net force and torque which the magnetic field exerts on the coil. (SEE ATTACHMENT) Please see the attachment. A current carrying rectangular coil is placed in a magnetic field. The force and the torque acting on it is calculated.

  • Magnetic Field of Circular Coil

    The radius of the coil is 4 cm, and it carries a current of 3 A. (a) what is the magnitude of the magnetic moment of the coil? (b) what is the magnitude of the torque exerted on the coil? (a) The magnetic dipole moment of a coil is m = N?I?

  • Magnetization Dipole Force

    240476 Magnetization Dipole Force A uniform current density J =Jo *zhat fills a slab straddling the yz plane, from x=-a to x=+a. A magnetic dipole m= mo *xhat is situated at the origin.

View More Related Solutions