Magnetism
A hollow tube is carrying an electric current along its length distributed uniformly over its surface. The magnetic field :
A steady electric current is flowing through a cylindrical conductor
If a current passes through any conductor, net charge through any section is zero. hence electric field in the vicinity of the conductor is zero. hence, electric field in the vicinity of the conductor is zero. we can observe using biot and savart law that the magnetic field at the axis of the cylindrical wire will be zero .electric field at the axis of the wire cannot be zero otherwise the current through the wire cannot flow.
A hollow tube is carrying an electric current along its length distributed uniformly over its surface. The magnetic field :
A long straight wire of radius R carries a current distributed uniformly over its cross-section. The magnitude of the magnetic field is
In a coaxial, straight cable, the central conductor and the outer conductor carry equal currents in opposite directions. The magnetic field is zero :
Sometimes we show an idealised magnetic field which is uniform in a given region and falls to zero abruptly. One such field is represented in figure. Using Ampere's law over the path PQRS, show that such a field is not possible.
Amperes circuital law is given by
The coil of a dynamo is rotating in a magnetic field. The developed induced emf changes and the number of magnetic lines of force also changes. Which of the following conditions is correct?
State Ampere's circuital law.
A current of $$\dfrac{1}{(4\pi)}$$ ampere is flowing in a long straight conductor. The line integral of magnetic induction around a closed path enclosing the current-carrying conductor is
Figure shows an Amperian path $$ABCDA$$. Part $$ABC$$ is in verical plane $$PSTU$$ while part $$CDA$$ is in horizontal plane $$PQRS$$. Direction of circulation along the path is shown by an arrow near point $$B$$ and $$D$$. $$\oint { \vec { B } .d\vec { l } } $$ for this path according to Ampere's law will be :