A $23$ cm long metal rod is oriented horizontally in a uniform magnetic field with magnetic flux density of $302$ G$.$ The magnetic field is directed vertically down into the ground. A current of $11$ A is passed through the rod. Neglect the magnetic field of earth at the location of this apparatus.

Determine the magnitude of magnetic force on the rod in the units of N$.$

Write your answer in decimal form with three digits to the right of the decimal point $($e$.$g$.5\mathrm{.}374)$; do not write any units.$$