# Current through resistors

## Homework Statement

Consider the circuit shown in the figure . Suppose the four resistors in this circuit have the values R1 = 12 $$\Omega$$, R2 = 6.4 $$\Omega$$, R3 = 7.0 $$\Omega$$, and R4 = 13 $$\Omega$$, and that the emf of the battery is $$\epsilon$$ = 18V .

A. Find the current through each resistor using the rules for series and parallel resistors.
B. Find the current through each resistor using Kirchhoff's rules. http://www.flickr.com/photos/[email protected]/5385574045/ [Broken] by Tetzsc, on Flickr

V=IR
Req= 1/R1+1/Rn
Req= R1+Rn

## The Attempt at a Solution

First I identify R2 & R4 as series circuits in parallel with R3 and solve for the total resistance across these lines giving me 5.14$$\Omega$$
I know that I1-I2-I3-I4 = 0 and that current will take the path of least resistance.
This is where I'm stuck. I know that the current leaving the R2+R4 & R3 will recombine through R1, but I'm really not sure how to find each individual current.

Rp=5.14$$\Omega$$
Rt=17.14$$\Omega$$

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