Consider the circuit  $($Assume R$1=12\mathrm{.}0\backslash$Omega $,$ R$2=2\mathrm{.}20\backslash$Omega $,$ and V $=7\mathrm{.}90$ V$.)$

A rectangular circuit begins at the positive terminal of a battery labeled V$,$ which is on the bottom side of the rectangle. The circuit extends up and to the left to resistor labeled R$2$ on the top side of the rectangle. To the right of R$2$ the circuit splits into two parallel horizontal branches.

The top branch splits into two parallel horizontal sub$-$branches. There is a resistor labeled R$1$ on the top sub$-$branch and a $5\mathrm{.}00$ resistor on the bottom sub$-$branch. The sub$-$branches then recombine and the top branch extends to the right to a $4\mathrm{.}00$ resistor.

The bottom branch contains a $3\mathrm{.}00$ resistor.

The top and bottom branches then recombine and the circuit extends down and to the left until it reaches the negative terminal of the battery.

$($a$)$ Calculate the equivalent resistance of the R$1$ and $5\mathrm{.}00-\backslash$Omega resistors connected in parallel.

$\backslash$Omega

$($b$)$ Using the result of part $($a$),$ calculate the combined resistance of the R$1,5\mathrm{.}00-\backslash$Omega and $4\mathrm{.}00-\backslash$Omega resistors.

$\backslash$Omega

$($c$)$ Calculate the equivalent resistance of the combined resistance found in part $($b$)$ and the parallel $3\mathrm{.}00-\backslash$Omega resistor.

$\backslash$Omega

$($d$)$ Combine the equivalent resistance found in part $($c$)$ with the R$2$ resistor.

$\backslash$Omega

$($e$)$ Calculate the total current in the circuit.

A

$($f$)$ What is the voltage drop across the R$2$ resistor?

V

$($g$)$ Subtracting the result of part $($f$)$ from the battery voltage, find the voltage across the $3\mathrm{.}00-\backslash$Omega resistor.

V

$($h$)$ Calculate the current in the $3\mathrm{.}00-\backslash$Omega resistor.

A