Solve Series Circuit for RT, IT, I3, V1, V3, V5

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Homework Help Overview

The discussion revolves around analyzing a series circuit to determine total resistance (RT), total current (IT), and specific currents and voltages across individual components (I3, V1, V3, V5). The context includes applying Ohm's law and Kirchhoff's laws to understand the relationships between voltage, current, and resistance in the circuit.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of total resistance and current, with one participant expressing uncertainty about finding the current at I3. Questions arise regarding the relationship between resistance and current in a series circuit, particularly whether the current remains constant through all resistors.

Discussion Status

Some participants have provided clarifications regarding the constancy of current in a series circuit, suggesting that the current at I3 is equal to the total current calculated (IT). However, there remains some confusion about how resistance affects current and voltage drops across individual resistors, indicating ongoing exploration of these concepts.

Contextual Notes

Participants are navigating the implications of resistance on current flow and voltage drops, with references to previous problems that may influence their understanding. The discussion reflects a learning environment where assumptions about circuit behavior are being questioned and clarified.

Dazed
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Homework Statement



2. For the following circuit, find RT, IT, I3, V1, V3, V5.

http://img520.imageshack.us/my.php?image=m17aje5.gif


Homework Equations



V = IR, ohms law, Kirchoff's laws

The Attempt at a Solution



RT = R1 + R2 + R3 + R4 + R5 + R5
RT = 20 + 22 + 30 + 27 + 40 + 20
RT = 159 ohms

IT = V/RT
IT = 120 V / 159 ohms
IT = 0.75 amps


I have the total resistance and total current.. I'm not sure exactly how to go about finding the current at I3 though. Any help would be appreciated.

voltage, minus the voltage drop of the 2 resistors before it, / resistance of the 2 resistors before it? I'm not sure.
 
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In a series circuit, the current is constant all the way round, so the current at I3 is the same as the IT that you calculated.

As the current is the same through all the resistors, you can calculate the voltage drop across each resistor using V=IR

Hope that helps
 
That does help a lot, thanks.

But it raises one question for me, you say the current is the same through all resistors, but as I understand, the resistance causes the current to drop.

Hence the I = V / R formula

The previous question I did was "What is the current through each resistor?" in "A circuit with a 6.0 V battery has a 3 ohm resistor and a 15 ohm resistor in series."At a 3 ohm resistor

I = V / R
I = 6 v / 3 ohm
I = 2 amps

At a 15 ohm resistor

I = V / R
I = 5 v / 15 ohm
I = 0.33 (repeating)

Is this wrong, and the current through each of these resistors is equal to IT?
 
Last edited:
Dazed said:
But it raises one question for me, you say the current is the same through all resistors, but as I understand, the resistance causes the current to drop.

No, as Edward says, the current is the same everywhere in the series circuit. That same current causes a different voltage drop in the different load resistors, and that same current flows through the power supply (battery).
 

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