How Do You Calculate the Voltage Across a Resistor in a Complex Circuit?

AI Thread Summary
To calculate the voltage across the 4.0-ohm resistor in the given circuit, first determine the total resistance using the formula R_total = R1 + R2 + 1/(1/R3 + 1/(R4 + R5)). Next, find the current (I) by applying Ohm's Law: I = V / R_total, where V is the total voltage of 120 volts. The voltage across the 4-ohm resistor can then be calculated using V = I * R, resulting in V = 4 * I. Proper formatting of the circuit diagram is essential for clarity in calculations. Understanding these steps is crucial for solving complex circuit problems effectively.
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Homework Statement


Code:
    -------R1---------
   l                   l                          R1=5 ohms
----  V=120            l                          R2= 11 ohms
  -                   R2                        R3= 6 ohms
  l                     l                          R4=8 ohms
  l                     l                          R5=4 ohms
  l              ------------
  l              l            l
  l              l            l
  l              R3           R4
  l              l            l
  l              l           R5
  l              ------------
  l_____________l

Q: find the potential difference across the 4.0 ohm resistor

Homework Equations


The Attempt at a Solution


V= IR
V/ (R1+R2)

(V/(R1+R2)) / 2

((V/(R1+R2))/2) x ((1/R4)+(1/R5))^-1
 
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I'm sorry, I'd try to help if i can, but I can't understand your diagram??
 
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Last edited:
Find the total resistance of the circuit, then the current I = V/Total R.

The voltage across the 4 ohm resistor is then 4*I.

R total = R1 + R2 + 1/(1/R3+1/(R4+R5))
 
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