Ampere's Law: Magnetic field inside a long cylindrical conductor

Physics Ninja applies Ampere's law to calculate the field inside and outside a long conductor carrying a constant current.

[@muhahaha153]

Just for completeness:
The current density is constant if the frequency is low. If the frequency is really high the skineffect comes into play and makes the current of the conductor flow more over its surface.

[@lilac.2858]

Thank you for the comprehensive explanation!

[@aynilaydin4658]

I'm so gratetful to you

[@desireeharvell7145]

Thank you!! This helped me out with E and M

[@nicolevillalon9737]

Thank you!

[@richmondappiah2446]

Thank you very much so understandable

[@TheGhost-tn2he]

👌👌👌

[@stimulantdaimamld2099]

great

[@shadabrabbani]

What will be the electric field and magnetic field inside and outside the cylinder if current is time varying and on the surface of the cylinder?

[@Ehsan_Ali442]

hi, can you for a (Magnetic field in an elliptical cylinder) finding?

[@htchtc203]

Sir @PhysicsNinaja, for the field inside the wire, why is permeability of a the vacuum is used if the conductor does have some higer permeability?

[@govindrajan6826]

Pls make vedio for neet physics objectives

[@mohanakumar369]

Sir can make a vedio for neet physics objectives

[@htchtc203]

Sir @PhysicsNinja, I really would like to underatand how the describtion behaves if the conductor is surrounded with a cylinder of magnetic material (like iron, for example)? The cylinder is having certain thickness and it is separated from the wire with certain distance.

[@shadowzica1669]

Thank you sm

[@Tommybotham]

Do this for Biot-Savart please.

[@i18nGuy]

You discussed the B due to the current at the center of the loop. What about the contributions to B from the rest of the wire. Isn't there a contribution that needs to be integrated over the length of the wire according to the sine of the angle formed between the loop and the distance to the point on the wire?

[@PhysicsNinja]

The wire is assumed to be really long. For a finite length wire Amperes law should be used. Use Biot Savart instead.

[@i18nGuy]

@@PhysicsNinja ok thanks

[@abenterprises239]

Neet physics objectives please