Answers and Solutions

Answer

Answer

Answer

Answer

Defination :The line integral of the magnetic field around some closed loop is equal to the times the algebraic sum of the currents which pass through the loop.

Answer

 the line integral of the magnetic field around some circular loop , centred on a current carrying wire, and in the plane perpendicular to the wire, is equal to times the current flowing in the wire.

Answer

It relates magnetic fields to electric currents that produce them. UsingAmpere's law, one can determine the magnetic field associated with agiven current or current associated with a given magnetic field,providing there is no time changing electric field present.

Answer

Ampère's law relates magnetic fields to electric currents that produce them. Ampère's law determines the magnetic field associated with a given current, or the current associated with a given magnetic field, provided that the electric field does not change over time. In its original form, Ampère's circuital law relates a magnetic field to its electric current source. The law can be written in two forms, the "integral form" and the "differential form". The forms are equivalent, and related by theKelvin–Stokes theorem. It can also be written in terms of either the B or H magnetic fields. Again, the two forms are equivalent (see the "proof" section below).

Ampère's circuital law is now known to be a correct law of physics in a magnetostatic situation: The system is static except possibly for continuous steady currents within closed loops. In all other cases the law is incorrect unless Maxwell's correction is included

Answer

Ampere's circuital law in magnetism is analogous to gauss's law in electrostatics

This law is also used to calculate the magnetic field due to any given current distribution

Ampere's circuital law states that " The line integral of resultant magnetic field along a closed plane curve is equal to μ0 time the total current crossing the area bounded by the closed curve provided the electric field inside the loop remains constant

Answer

Thus, (176) or. (177) In other words, the line integral of the magnetic field around some circular loop , centred on a current carrying wire, and in the plane perpendicular to the wire, is equal to times the current flowing in the wire.