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.
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,