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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