Problem $7$: $(10\%$ of Assignment Value$)$

A wire of length $L=0\mathrm{.}35m$ and mass $m=0\mathrm{.}055kg$ carries a current of $I=0\mathrm{.}55A.$ The wire is floating at rest in a magnetic field as shown in the figure.

Randomized Variables

$L=0\mathrm{.}35m$

$m=0\mathrm{.}055kg$

$I=0\mathrm{.}55A$

Part $($a$)$

What are the forces acting on the wire, and which directions do they go$?$

Gravity, downward. Magnetic force, upward.

$$ Correct!

Part $($b$)$

Express the magnitude of the magnetic force in terms of the current I, length $L$ and the magnetic field $B.$

$F=$ILB

$$ Correct!

Part $($c$)$

Given the fact that the wire is floating at rest, derive an expression for $B.$