# Complex circuits

## Homework Statement

R=resistor

determine the voltage across and the current through each resistor for the circuit.

## The Attempt at a Solution

1&2=parallel 1/50+1/25=3/50 --> 50/3=16.7 ohms

3&4=parallel 1/10+1/10=1/5 --> 5 ohms

5&6=series 5+10=15 ohms

total resistance=36.7 ohms

so my question is how do you figure out the current and voltage with just the resistance given to you?

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Did they give you a battery voltage or emf?

nope. thats why i cant figure out anything besides the resistance. i dont even think the question has possible answer.

If you're not given a number for E, the answer has to be expressed in terms of E.
Then use voltage division immediately (no loop or node equations necessary)
R = total equivalent resistance
V across (R1 parallel R2) = E ( [R1 parallel R2] / R)
V across (R3 parallel R4) = E ( [R3 parallel R4] / R)
Voltage across R5 = E (R5 / R)
Voltage across R6 = E (R6 / R)

what does the E stand for? current?

I meant voltage source E. I got you mixed up with someone else who had a battery named E.