Could anyone me with parallel-series circuit equations?

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Discussion Overview

The discussion revolves around solving equations related to parallel and series circuits, specifically focusing on calculating unknown resistances and currents using given parameters such as power and voltage. The scope includes technical explanations and mathematical reasoning related to circuit analysis.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about how to start solving for unknowns in a circuit problem.
  • Another participant suggests writing down Ohm's law, power equations, and the formulas for adding resistors in series and parallel as a foundational step.
  • A different participant advises analyzing the given resistors, indicating that R1 and R3 are in series and R2 and R4 are also in series, and recommends using power formulas to find resistances.
  • Further, it is proposed that to find the total resistance, one must first calculate the series resistance and then combine those subtotals in parallel to find the total resistance.
  • A mathematical expression for equivalent resistance (Req) is provided, along with formulas for total current (Itot) and power (Pt), indicating relationships between the currents in different arms of the circuit.

Areas of Agreement / Disagreement

Participants present various approaches and formulas without a clear consensus on a single method to solve the problem. Multiple viewpoints on how to proceed with the calculations remain evident.

Contextual Notes

The discussion does not clarify certain assumptions about the circuit configuration or the specific values of the parameters involved, which may affect the application of the proposed formulas.

Who May Find This Useful

This discussion may be useful for students or individuals seeking assistance with circuit analysis, particularly those grappling with the concepts of series and parallel resistances and their calculations.

Trout
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This is the given
DSCF1190.jpg


I need to find those unknowns but I have no idea where as to even start.
Any help would be appreciated, thanks a lot
 
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Write down the Ohms's law, equations for calculating power P, and equations for adding resistors in series and parallel.
 
To start with you need to look at what is given in terms of your resistors.
For R1 you have PD and Power; and R4 you have Current and Power so use the formulas for power to find those resistances.
R1 and R3 are in series; R2 and R4 are also in series
To find the total resistance you will have to find the In Series Resistance first (Rs)and then you'll see that those subtotals will now be in Parallel to find the total Resistance Rt.
If you review PD and Current for Resistors in Series and Parallel it will help you find the It and Vs
 
Req=((R1+R3)*(R2+R4))/((R1+R3)+(R2+R4)); Req=Rt

Itot=Vs/Req;

Itot=I1+I2; I1-----arm 1 current,I2-----arm 2 current;

I1/I2=(R2+R4)/(R1+R3);

IR1=I1;

Pt=((Itot)^2)*(Req)
 

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