Q. 104.0( 4 Votes )

A wire of length ℓ carries a current i along the x-axis. A magnetic field exits which is given as Find the magnitude of the magnetic force acting on the wire.

Answer :


Given-



length of wire l cm



Electric current through the wire =
A



Magnetic field in vector form is given as –




Given in the question, that the current is passing along the X-axis.


Magnetic Force on a Current carrying wire is given by



where,


B= magnetic field


I = current


l = length of the wire


and θ = the angle between B and l


Magnetic force-




Substituting the values –




since current I is along x- axis, from vector laws, cross product of same vectors is zero –







The magnitude of the magnetic force,





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