How Do You Calculate Current and Terminal Voltage in a Mixed Battery Circuit?

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Homework Help Overview

The discussion revolves around a mixed battery circuit involving two batteries connected in parallel and a third battery connected in series. The original poster describes the specifications of each battery, including their electromotive forces (emfs) and internal resistances, and seeks to determine the current in each battery and the terminal voltage of one of the batteries.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of Kirchhoff's law and the need for circuit sketches to clarify the problem. There are attempts to visualize the circuit and identify where calculations may be going wrong.

Discussion Status

Some participants have suggested drawing the circuit to better understand the relationships between the components. There is an ongoing exploration of the current direction and values, as well as the terminal voltage, but no consensus has been reached on the correct approach or solution.

Contextual Notes

Participants note the complexity of the circuit and the potential for miscalculations, indicating that the original poster may be missing key insights or steps in their reasoning. There is also a mention of a bonus question regarding battery safety, which introduces additional considerations into the discussion.

qety6321
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Homework Statement


two batteries A and B are connected in pareallel. A has emf of 108V and internal resistance of 3 Ω while B has emf of 120V and internal resistance of 2Ω. The battery terminal is connected to battery C in series with a 25 resistor. Battery C has emf of 30V and negligible internal resistance.


Homework Equations


find the value and direction of current in each battery and terminal voltage of B.



The Attempt at a Solution


I'm struggling to find the current in each battery first and I have tried to find the terminal voltage of B by using Kirchhoff's law and nodes but cannot get the right answer.
 
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Hi qety6321. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

Please attach your sketch of the circuit showing all the information given. Then show your calculations so we can see where you are going wrong.
 
Last edited by a moderator:
qety6321 said:

Homework Statement


two batteries A and B are connected in pareallel. A has emf of 108V and internal resistance of 3 Ω while B has emf of 120V and internal resistance of 2Ω. The battery terminal is connected to battery C in series with a 25 resistor. Battery C has emf of 30V and negligible internal resistance.


Homework Equations


find the value and direction of current in each battery and terminal voltage of B.



The Attempt at a Solution


I'm struggling to find the current in each battery first and I have tried to find the terminal voltage of B by using Kirchhoff's law and nodes but cannot get the right answer.

As a bonus question, calculate how long before one of the batteries catches fire...
 
Try drawing the EMF ups and downs separately for the batteries. Something like a ----EMF---/\/\/---- diagram. Then use appropriate math.
 

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