Ampere's circuital law states that
the surface integral of magnetic field over the open surface is equal to times the total current passing through the surface.
)the surface integral of magnetic field over the open surface is equal to .times the total current passing near the surface.
the line integral of magnetic field along the boundary of the open surface is equal to times the total current passing near the surface.
the line integral of magnetic field along the boundary of the open surface is equal to times the total current passing through the surface.
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According to Ampere's circuital law
The magnetic field around a long straight current carrying wire is
spherical symmetry
cubical symmetry
cylindrical symmetry
unsymmetrical
Magnetic field is given by i.e,, which implies that field has cylindrical symmetry.
If a copper rod carries a direct current, the magnetic field associated with the current will be
only inside the rod
only outside the rod
both inside and outside the rod
neither inside nor outside the rod
If a long hollow copper pipe carries a direct current, the magnetic field associated with the current will be
only inside the pipe
only outside the pipe
neither inside nor outside the pipe
both inside and outside the pipe
An infinitely long hollow conducting cylinder with radius carries a uniform current along its surface. Choose the correct representation of magnetic field (B) as a function of radial distance from the axis of cylinder.
So,
. Therefore graph will be as such
The figure shows a closely wound coil on a square core of inside edge length . The no. of turns per unit length of the coil is . Each turn carries current into the plane of paper and out of the plane of papers. is an
Amperian loop enclosing an open surface in the plane of the paper. The current enclosed by the loop is
zero
Since the total current going into the surface is equal to total current coming out of the surface, therefore current enclosed is zero.
A current flows along the length of an infinitely long, straight, thin walled pipe. Then
the magnetic field at all points inside the pipe is the same, but not zero
the magnetic field is zero only on the axis of the pipe
the magnetic field is different at different points inside the pipe
the magnetic field at any point inside the pipe is zero
There is no current inside the pipe. Therefore
A long straight wire in the horizontal plane carries a current of in north of south direction, magnitude and direction of field at a point east of the wire is
, vertical up
, vertical down
From Ampere circuital law
The direction of field at the given point will be vertical up determined by the screw rule or right hand rule.
The figure shows ( being an even number) wires placed along the surface of a cylinder of radius . Each wire carries current in the same direction. The net magnetic field on the axis of the cylinder is
Since is an even number, we can assume the wires in pairs such that the two wires forming a pair is placed diametrically opposite to each other on the surface of cylinder. The fields produced on the axis by them are equal and opposite and can get cancelled with each other.
A current ampere flows along an infinitely long straight thin walled tube, then the magnetic field at any point inside the tube is
tesla
infinite
Using Ampere's law at a distance from axis, is same from symmetry.
Here is zero, for , whereas is radius
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