Q. 75.0( 5 Votes )

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?

Answer :


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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