# 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.

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