Find the current through and the potential difference of resistor

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Homework Help Overview

The discussion revolves around a circuit analysis problem involving resistors, specifically focusing on finding the current through and the potential difference across a 4.0 ohm resistor. Participants are examining the relationships between voltage, current, and resistance using Ohm's Law and considering the configuration of the circuit.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss calculating the current through the 4.0 ohm resistor and the potential difference across it, referencing Ohm's Law. There are attempts to determine total resistance and how it affects current in the circuit. Questions arise about the correctness of calculations and the method for finding potential differences in different branches of the circuit.

Discussion Status

Several participants have provided calculations and insights regarding the current and potential difference across the 4.0 ohm resistor. There is ongoing exploration of the total resistance and its implications for current in the circuit, with some guidance offered on using Ohm's Law for potential difference calculations. Multiple interpretations of the circuit's behavior are being discussed.

Contextual Notes

Participants are working with a specific circuit diagram that is referenced but not visible in the discussion. There are mentions of series and parallel combinations of resistances, indicating that the circuit's configuration may influence the calculations being performed.

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Homework Statement



For the circuit shown in the figure, find the current through and the potential difference across each resistor. (Figure attached)
a) Find the current through 4.0 ohm resistor.
b) Find the potential difference across 4.0 Ohm resistor.

Homework Equations



V = IR
Q = VC

The Attempt at a Solution

 

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So how far have you gotten on your own?
 


so the current through 4.0 ohm resistor, I = V/R = 24 V/4 Ohm = 6 A
and the potential difference ?
 


Using formula for series and parallel combination of resistances find the total resistance of the circuit.
 


If i did it right then the total resistance should be 12 Ohm
So I = V/R= 24 V/ 12 Ohm = 2 A.
Right ?
how do I get potential difference?
 


2A is the current through 4 ohm. Find potential difference by using V = IR.
 


V = IR = 2A*4 Ohm = 8 V
 


Next question,
Find the current through 6.0 {Ohm resistor.
 


Potential difference across 4 ohm resistor is 8V.
What is the pd across remaining circuit? From that find the current in each branch of the circuit.
 

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