Magnetic Effects Of Current Question 235

Question: Figure shows an equilateral triangle ABC of side $ l $ carrying currents as shown, and placed in a uniform magnetic field B perpendicular to the plane of triangle. The magnitude of magnetic force on the triangle is

Options:

A) $ ilb $

B) $ 2ilb $

C) $ 3,ilb $

D) Zero

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The equivalent figure can be redrawn as shown in figure. Force on $ AB=ilB $ , force on $ BCA=2ilB $ in opposite direction to that on $ BA. $ Hence, net force $ =2ilB-ilB=ilB $