Question $6(10$ points$)$

Consider the circuit below where two resistors are connected to a $\backslash (\backslash$mathbf$\{12$ V$\}\backslash )$ battery. Resistor $\backslash (\backslash$mathbf$\{$R$\}\_\{\backslash$mathbf$\{1\}\}\backslash )$ has a resistance of $\backslash (\backslash$mathbf$\{18\}\backslash )$ ohms. Resistor $\backslash (\backslash$mathbf$\{$R$\}\_\{\backslash$mathbf$\{2\}\}\backslash )$ is made of the same material as $\backslash (\backslash$mathbf$\{$R$\}\_\{\backslash$mathbf$\{1\}\}\backslash )$ but it is three times as long and has half of the cross$-$sectional area.

Calculate the current I that flows through the circuit.

Note: $\backslash (1\backslash$mathrm$\{$~mA$\}=0\mathrm{.}001\backslash$mathrm$\{$~A$\}\backslash )$

$670$ mA

$400$ mA

$95$ mA

$111$ mA