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## Homework Statement

I need to design a lab to solve for which circuit is parallel, and which is series. I also need to figure out the resistance in each resistor (each resistor is the same, so I need to find one of the resistances).

Here is the information given:

Given four identical resistors and two circuits, one in parallel, one in series, and both including two of the four resistors, which circuit is parallel, which is series, and what is the resistance of each resistor.

## Homework Equations

V=IR

Series Circuit: R

_{T}=R

_{1}+R

_{2}+R

_{3}+...

Parallel Circuit: 1/R

_{T}=1/R

_{1}+1/R

_{2}+1/R

_{3}+...

## The Attempt at a Solution

In the series circuit:

V = IR

R = V/I

R

_{resistor}= R/2 (since the resistance of each resistor is the same)

The two things that I haven't been able to figure out are how I can figure out...

1. Which circuit is which (either parallel or series)

2. The resistance of the parallel circuit.

P.S. This is all DC current.

Thanks for your help! Any ideas are appreciated!

Here is a picture of the circuit apparatus, in the real lab, the box will be sealed and it will not be known which circuit is parallel and which is series.