A conductor (shown in the figure) carrying constant current $I$ is kept in the $x-y$ plane in a uniform magnetic field $\vec{B}$. If $F$ is the magnitude of the total magnetic force acting on the conductor, then the correct statement$(s)$ is(are) $Image$
$(A)$ If $\vec{B}$ is along $\hat{z}, F \propto(L+R)$
$(B)$ If $\overrightarrow{ B }$ is along $\hat{ x }, F =0$
$(C)$ If $\vec{B}$ is along $\hat{y}, F \propto(L+R)$
$(D)$ If $\overrightarrow{ B }$ is along $\hat{ z }, F =0$
IIT 2015, Medium
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$\overrightarrow{ F }=2 I ( L + R )[\hat{ i } \times \overrightarrow{ B }]$.
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