Chapter 8: The Steady Magnetic Field

Quiz

1. Determine the magnetic field  due to a very short current element at the origin of the coordinate system. The current element is oriented along the positive x-axis, its current is  A, and its length is  m. The observation point P is with coordinates  m.

, A/m
, A/m
, A/m
, A/m


2. The magnetic field intensity inside a cylindrical wire with uniformly distributed current density depends on the distance  from the center of the wire as

 


3. At a point P, the static magnetic field is given by

 (A/m).

Find the electric current density J(P) (in A/m2) at P.

, A/m
, A/m
, A/m
, A/m


4. The magnetic vector potential A in a given region of space is given as the gradient of a scalar function:

, where .

Find the magnetic flux density B.

, T
, T
, T
, T


5. The magnetic vector potential is known to be

, Wb/m,

in a uniform nonmagnetic (i.e. ) isotropic region. What is the current density J in this region?

, A/m2
, A/m2
, A/m2
, A/m2