Question

There is an infinitely long straight current I. Calculate the magnetic

field distribution using Ampere’s law.

Answer #1

Use Ampere’s Law to determine the magnetic field as a function
of r (distance from the symmetry axis) both inside and outside an
infinitely long cylinder of radius R, carrying a current Iothat
is(show all relevant steps and any symmetry arguments in part a,
then you don’t have to repeat them in part b):
a) uniformly distributed over the surface of the cylinder (i.e.,
at r = R)
b) uniformly distributed throughout the cylinder

Find the magnetic field of an infinitely long-current carrying
wire with current I = A cos(wt) in the +x direction with w > 0
but small and constant and A > 0 constant.

Solid cylindrical wire of infinitely length has radius R. I, a
current, is flowing in the z direction. Through the cross section
of the wire, the current flow is uniformly distributed.
1. Find the current density vector J in the wire. Show your
steps and be clear on the formulas.
2. What's the magnitude of the magnetic field at points outside
the wire? Use Ampere’s Law.
3. What's the magnitude of the magnetic field at points inside
the wire? Again,...

Choose the simplest way to calculate the magnetic field for each
coil geometry,
Group of answer choices
solenoid
[ Choose ]
Biot-Savart law
Ampere’s law
short wire segment
[ Choose ]
Biot-Savart law
Ampere’s law
circular loop of wire
[ Choose ]
Biot-Savart law
Ampere’s law
field near the center...

Calculate the magnetic field inside and outside an infinitely
long solenoid of radius R that carries a current I and has N
windings per meter (pretend that the windings are circular). Make
sure that you use symmetry to show that some components of the
magnetic field are zero, and indicate the symmetry operations you
use to do so. Also makes sure that you make drawings of the 3
Amperian loops that you use and indicate which part of the
integrals...

1. In Ampere’s law, when we integrate the magnetic field along a
loop, which are summing?
a. the field components that are parallel to the
path elements, at every point along the loop
b. the field components that are perpendicular to the
path elements, at every point along the loop
c. the magnitudes of the field vectors at every point
along the loop
2. Which describes the magnetic field at a point inside a long
wire that...

1. In Ampere’s law, when we integrate the magnetic field along a
loop, which are summing?
a. the field components that are parallel to the
path elements, at every point along the loop
b. the field components that are perpendicular to the
path elements, at every point along the loop
c. the magnitudes of the field vectors at every point
along the loop
2. Which describes the magnetic field at a point inside a long
wire that...

The Biot-Savart Law to derive the equation of the magnetic field
of a long, straight wire?

Use the Biot–Savart law to calculate the magnetic field at a
distance b from an infinite straight wire carrying current
I.

(c) Write Ampere’s law in integral form. Using this form find
the volume current density J as a function of distance r from the
axis of a radially symmetrical parallel stream of electrons in a
wire if the magnetic field inside the stream varies as B(r) = µ0r 2
.Find the total current flowing in the wire with the radius r =
R.

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