Solving Electric Current: Find Total Resistance (Rt)

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mittpuff31
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Above is a battery connected through a circuit. We have to find the Total Resistance (R t) by solving in terms of R.


I'm really confused because I'm not sure what's parallel or in series.

Please, help!
 
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Well, for this type of circuit, you need to have a test current of 1A. Figure out the total voltage in the circuit using Kirchhoff's current law, and then find the total resistance by using R = V/I.

It's quite a hard circuit analysis question, in my opinion.
 
The one you have there is called a bridge circuit. To calculate total resistance, you must substitute the given resistor circuit with an equivalent one.