Question

How
is the equation for the field of a solenoid derived from Ampere's
law?

Answer #1

Note: I'm really only struggling with part
c.
Lorentz Law, Ampere's Law, and Faraday's Law
a.) Two equal current carrying infinite wires with current I =
2amps and separation d = 0.5m repel one another. Find the force per
unit lengh (f). Give the relative directions of the currents in the
wires by drawing a diagram.
b.) Find the strength of the magnetic field (B) inside a
solenoid with n= 200 turns/meter (loops per unit length) and
carrying a current...

A 310 turn solenoid with a length of 23.0 cm and a radius of
1.60 cm carries a current of 1.85 A. A second coil of four turns is
wrapped tightly around this solenoid, so it can be considered to
have the same radius as the solenoid. The current in the 310 turn
solenoid increases steadily to 5.00 A in 0.900 s.
(a) Use Ampere's law to calculate the initial magnetic field in
the middle of the 310 turn solenoid....

1)Derive the charge continuity equation from first
principles,stating clearly any assumptions made.
2)Show that the time independent form of
Ampere's law,together with the continuity equation,give a result
which is at variance with the experiment.
3)Derive the time-dependent form of Ampere's
law from the requirement that it be consistent with the continuity
equation and the other laws of electromagnetic induction.

The magnetic field measured with a Teslameter (or Gaussmeter) at
the center of a solenoid is 3.0 mT when a current of 0.3 A is
flowing through it. The length of the solenoid is 15.0 cm.
(a) Calculate the number of turns in the solenoid.
(b) To produce magnetic field of 1.5 T at the center of the
solenoid, how much current is needed?
(c) If the diameter of the solenoid is 5.0 cm and a 10-turn coil
with average...

The Schrodinger equation, the Dirac equation and the Boltzmann
equation cannot be derived exactly from some more basic theory. Why
then should anyone be willing to call work based on these equations
scientific theories?

why
dont the toroidial solenoid have poles? and explain how the
magnitic field cause?

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

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...

By showing that this electric field obeys Gauss' law, as well as
the Maxwell Faraday equation and write down in words what
conditions need to be met. Consider both the differential and
integral forms, whichever is most appropriate. For example, do you
"see" the correct charge enclosed in a closed surface? How can I
integrate electric field with da using Cartesian coordinate? Please
also write the range (Integral from 0 to ~). If possible, please
write the equations to represent...

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