Voltage in a Circuit: Calculate with Current Divider

  • Thread starter Thread starter -EquinoX-
  • Start date Start date
  • Tags Tags
    Circuit Voltage
Click For Summary

Homework Help Overview

The discussion revolves around calculating voltage in a circuit using the current divider rule. Participants are examining a specific circuit configuration and its equivalent resistance to determine the voltage across a particular branch.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to use the current divider to find the voltage across a branch, questioning their calculations and the complexity of their results. Some participants clarify that the voltage across the branch is the same for both resistors and suggest converting the equivalent resistance into conductance.

Discussion Status

Participants are actively discussing the equivalent resistance and its implications for the voltage calculation. There are multiple interpretations of the equivalent resistance, and some guidance has been offered regarding the relationship between voltage and current in the circuit.

Contextual Notes

There is some confusion regarding the calculations and the use of equivalent resistance in the context of the current divider rule. The original poster's assumptions and the specific values used in their calculations are under scrutiny.

-EquinoX-
Messages
561
Reaction score
1

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?
 
Last edited by a moderator:
Physics news on Phys.org
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}
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K
  • · Replies 15 ·
Replies
15
Views
3K
Replies
22
Views
4K
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
2
Views
969
  • · Replies 10 ·
Replies
10
Views
2K