Find the Voltage in This Circuit

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    Circuit Voltage
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The circuit analysis involves resistors R1 at 14.1 Ω and R2 at 8.35 Ω, with a current of 1.22 A flowing through R2. The initial calculation of the equivalent resistance as 33.84 Ω is incorrect because it does not account for the circuit's configuration, particularly the parallel arrangement of resistors. The current through R2 does not represent the total current from the battery, as other branches affect the overall current distribution. To find the battery voltage accurately, one must analyze the circuit's junctions and apply the correct voltage and current rules for resistors in parallel and series. Understanding these relationships will lead to a more accurate determination of the battery voltage.
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The circuit: http://www.webassign.net/walker/21-33alt.gif

The question reads:

Consider the group of resistors in the figure below, where R1 = 14.1 Ω and R2 = 8.35 Ω. The current flowing through the 8.35-Ω resistor is 1.22 A. What is the voltage of the battery?

I found that the equivalent resistance was 15Ω + 14.1Ω + 4.74Ω = 33.84Ω,

and V=IR, so V = 33.84Ω x 1.22A = 41.3V.

I don't know where I'm going wrong.
 
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well, the current in R2 won't be the current through the battery because of how the circuit's junctions are set up

try looking at that junction and remember the rules about voltages and currents in resistors that are in parallel
 

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Dawg91 said:
The circuit: http://www.webassign.net/walker/21-33alt.gif

The question reads:

Consider the group of resistors in the figure below, where R1 = 14.1 Ω and R2 = 8.35 Ω. The current flowing through the 8.35-Ω resistor is 1.22 A. What is the voltage of the battery?

I found that the equivalent resistance was 15Ω + 14.1Ω + 4.74Ω = 33.84Ω,

and V=IR, so V = 33.84Ω x 1.22A = 41.3V.

I don't know where I'm going wrong.

The given current, 1.22A, flows through R2. It is not the entire current; there will be other currents in in other parts of the circuit. The equivalent resistance of the entire resistor network is going to be of limited use here. The two parallel resistors in the middle branch can be simplified, though, as can the series combination of R1 and 15.0Ω.

Start with the current that you're given and see what potentials you can deduce from that. Draw them in on your circuit diagram. As you go, see what other information becomes obtainable.
 
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