The Earth's magnetic field is essentially that of a magnetic dipole. If the field near the North Pole is about 1.0x10^-4 T, what will be its approximate value 18,000km above the surface at the North Pole?

Solution Summary

The approximate value of the magnetic field 18000 km above north pole is calculated.

A uniform current density J =Jo *zhat fills a slab straddling the yz plane, from x=-a to x=+a. A magneticdipole m= mo *xhat is situated at the origin.
a) Find the force on the dipole, using F = ▽(m.B)
b) Do the same for a dipole pointing in the y direction m= mo *yhat

- A magneticdipole m = −m0 ˆ z is situated at the origin, in an otherwise uniform magnetic ﬁeld B = B0 ˆ z.
- Show that there exists a spherical surface, centered at the origin, through which no magnetic ﬁeld lines pass.
- Find the radius of this sphere, and sketch the ﬁeld lines, inside and out.
See the attache

The magneticfield can store energy, but it can do no work. Therefore, another agency must be responsible for doing the work that puts the energy into the magneticfield. In order for the energy in the field to be reduced to zero, work must be done. Explain where the energy goes when the B field collapses. What possible agen

An electromagnetic signal is generated by a Hertzian dipole located at a point P, which has the position vector r = ?(100m) ez. The signal is detected by a small wire loop located at the origin. Apart from the dipole and the loop, the nearby space is empty.
Experimentation reveals that the detected signal is induced by a cha

The 10-turn loop of wire shown in the figure (see attachment) lies in a horizontal plane, parallel to a uniform horizontal magneticfield, and carries a 2.0 A current. The loop is free to rotate about a non-magnetic axle through the center. A .050 kg mass hangs from one edge of the loop.
(a) What is the magnetic moment m of t

At what distance from a long, straight wire carrying a current of 100.0 A is the magneticfielddue to the wire equal to the strength of the Earth's field, approximately 4.0E-5 T (in m)?

A single square loop of wire 21.0 cm on a side is placed with its face parallel to the magneticfield between the pole pieces of a large magnet. When 6.21 A flows in the coil, the torque on it is 0.315 m·N. What is the magneticfield strength?

A sphere is centered at the origin with radius 3m. It has a total charge of 100 micro-Coulombs spread uniformly over its surface and is spinning with 3600 revolutions per minute.
1. What is the magnitude and direction of the magneticfield inside the sphere?
a. B=0
2. Given the magnetic vector potential (see in attachment),