Question

In: Physics

Use Ampere’s Law to determine the magnetic field as a function of r (distance from the...

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

Solutions

Expert Solution

We need to use Ampere Circuital Law, which states that magnetic field around a closed path can be calculated from the current enclosed using the formula given below.


Related Solutions

An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field...
An ideal solenoid holds a current ?. Use Ampere’s Law to show that the magnetic field strength inside the solenoid is ?=?0??.
Using Ampere’s law derive the formula for the magnetic field for the infinitely long solenoid of...
Using Ampere’s law derive the formula for the magnetic field for the infinitely long solenoid of radius R.
Find the magnetic field a distance r from the center ofa long wire that has...
Find the magnetic field a distance r from the center of a long wire that has radius a and carries a uniform current per unit area j in the positive z-direction.PART AFirst find the magnetic field, B? out(r? ),outside the wire (i.e., when the distance ris greater than a). (Figure 1)Express B? out(r? ) in terms of the given parameters, the permeability constant ?0, the variables a, j (the magnitude of j? ), r,?, and z, and the corresponding unit...
True or False The magnetic field at a radial distance R from a current element i...
True or False The magnetic field at a radial distance R from a current element i dl is a maximum when the current element direction is at right angles to the radial line. Induced electric field lines are continuous, i.e. having no beginning or ending points. An arbitary shaped Amperian loop through which no currents pass may itself pass through a magnetic field. Induced electric field lines have a beginning and end point. The negative sign in Faraday's Law (Lenz's...
6. Using Gauss’s Law, find the electric field a distance r from a line of positive...
6. Using Gauss’s Law, find the electric field a distance r from a line of positive charge of infinite length and a constant charge per unit length λ. Draw a diagram, a Gaussian surface and completely prove your answer
The magnetic field at a distance ro from a long straight wire carrying a current I...
The magnetic field at a distance ro from a long straight wire carrying a current I is given by B=u0I/2PI ro . For the statements below, circle the word or phrase that correctly completes the sentence. A) For a fixed current of 3.00 A in the wire, the magnetic field sensed by a Hall probe will _________________ if the distance r0is changed from 0.6 cm to 1.2 cm. (double, triple, reduce to half, reduce by 0.6 mT) B) If the...
At what distance on the axis of a current loop is the magnetic field half the...
At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your answer as a multiple of R. Express your answer in terms of R using two significant figures.
1) Does the magnetic field outside solenoid depend on the distance from solenoid? 2) How the...
1) Does the magnetic field outside solenoid depend on the distance from solenoid? 2) How the magnetic field inside solenoid depends on the solenoid diameter? 3) What would happen to the magnetic field inside solenoid if it is bent? 4) Can you identify North and South poles of the solenoid you studied? 5) How can you prove that the magnetic field inside solenoid is uniform?
Use Gauss's Law to find the gravitational field g(r) and the gravitational potential Phi(r) of an...
Use Gauss's Law to find the gravitational field g(r) and the gravitational potential Phi(r) of an infinitely long cylinder on the z-axis. (infty to -infty). The cylinder has a constant mass density from (0 < r < R).
find the electric field a distance r from a line of a positive charge of infinite...
find the electric field a distance r from a line of a positive charge of infinite length and constant charge per unit length lambda ?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT