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