First slide
Force on a current carrying wire placed in a magnetic field
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 triangle is

Moderate
Solution

The equivalent figure can be redrawn as shown.

Force on AB = ilB,
Force on BCA = 2ilB in opposite

direction to that on BA.

Hence net force =2ilBilB=ilB

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