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Moving Charges And Magnetism

Question
CBSEENPH12037574

What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30° with the direction of a uniform magnetic field of 0.15 T?

Solution

Given,
    Current carried by wire, I = 8  A,Uniform magnetic field,  B = 0.15 T, Angle made by the wire with magnetic field,  θ = 30° 

Therefore, 

Force acting on wire
                     
            F = BIl sin θ
 
               = 0.27 × 10 × (3 × 10-2) × sin 90° = 0.27 × 10 × 3 × 10-2 × 1  

            F = 8.1 × 10-2N