Voltage in a Circuit: Calculate with Current Divider

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SUMMARY

The discussion focuses on calculating voltage in a circuit using the current divider rule. Participants confirm that the correct approach involves finding the equivalent resistance of two resistors, R1 and R2, using the formula R1R2/(2R1 + 2R2). The voltage across the branch, Vo, is derived from the relationship Vo/Is, where Is is the total current in the circuit. The conversion of equivalent resistance into conductance (G) is emphasized as a necessary step to achieve the final answer.

PREREQUISITES
  • Understanding of the current divider rule in electrical circuits
  • Familiarity with equivalent resistance calculations
  • Knowledge of voltage and current relationships in circuits
  • Basic concepts of conductance and its relation to resistance
NEXT STEPS
  • Study the current divider rule in detail with practical examples
  • Learn how to calculate equivalent resistance for complex circuits
  • Explore the conversion of resistance to conductance in circuit analysis
  • Practice problems involving voltage calculations in parallel circuits
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Electrical engineering students, circuit designers, and anyone involved in analyzing and solving circuit problems will benefit from this discussion.

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Homework Statement



http://img696.imageshack.us/img696/7609/circuit.jpg

Homework Equations





The Attempt at a Solution



I know that the answer of the question below is D, but how do I get to that answer?

My guess would be to use current divider to find the current going through v0 then we can calculate v0 then divide by is.

When I do that I got a very complicated result...

My calculations for the current divider is to find the equivalent resistance in the circuit, which is:

R1R2/R1+R2 || R1R2/R1+R2
which is R1R2/2R1+2R2

Then after calculating the v0/is I got R1R2/2(R1+R2). This doesn't seem to match the answers above
is this approach correct so far?
 
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Vo/Is is the resistance. It does not depend on the branch current. The current in the circuit is Is. Vo is the same for R1 and R2.
So what is Vo across that branch? Convert the equivalent resistance into G to get the required answer.
 
rl.bhat said:
Vo/Is is the resistance. It does not depend on the branch current. The current in the circuit is Is. Vo is the same for R1 and R2.
So what is Vo across that branch? Convert the equivalent resistance into G to get the required answer.

the equivalent resistance is this:

R1R2/2R1+2R2
 
-EquinoX- said:
the equivalent resistance is this:

R1R2/2R1+2R2
From where did you get 2?
The resistance of desired branch is \frac{1}{G_{}1+G_{}2}
 

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