Consider a 10-cm long portion of a straight wire carrying a current of 10 A placed in a magnetic field of 0.1 T making an angle of 53° with the wire. What magnetic force does the wire experience?
Given-
Length of wire, l = 10 cm
Electric current passing through the wire, I = 10 A
Magnetic field, B = 0.1 T
Angle between the wire and magnetic field, θ = 53°
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
hence, magnetic force,
The direction of force can be found using Fleming’s left-hand rule –
which states that –
whenever a current carrying conductor is placed inside a magnetic field, a force acts on the conductor, in a direction perpendicular to both the directions of the current and the magnetic field
Therefore, the direction of magnetic force is perpendicular to the wire as well as the magnetic field.