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Moving Charges And Magnetism

Question
CBSEENPH12037698

Find the magnitude of the force on each segment of the wire shown, if a magnetic field of 0.30 T, is applied parallel to AB and DE take the value of current flowing in the wire, as 1 ampere.


Solution

Given, 
Magnetic field applied on segment AB and DE, B = 0.30 T
Current flowing in the wire, I = 1A
Therefore,

Force acting on the wire, F = IBl sin θ
For segment AB and DE, θ = 0 
∴  force acting on these segments is zero.

Force on segment BC = IBl sin 90°
                           = 1 (B) 8 x 10–2
                           = 0.08 B tesla. 
 

Force acting on CD segment, F = 1.B.10 x 10–2.sin 30°
                                           = 0.05B tesla.