Rankers Physics

Force Acting on Current Carrying Conductor: Practice Problem & Solution

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is $vec{F}$, the net force on the remaining three arms of the loop is: (2010 Pre)
$\vec{F}$
$3\vec{F}$
$-\vec{F}$
$-3\vec{F}$

Solution Explained:

To solve this problem, we apply the core principles of Force Acting on Current Carrying Conductor. Understanding the underlying formula is key to arriving at the correct answer below:

The net magnetic force on a closed current loop in a uniform magnetic field is always zero.
Therefore, $\vec{F} + \vec{F}_{\text{remaining}} = 0$, which gives $\vec{F}_{\text{remaining}} = -\vec{F}$.

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