Find the current through and the potential difference of resistor

AI Thread Summary
The discussion focuses on calculating the current and potential difference across a 4.0-ohm resistor in a given circuit. The current through the 4.0-ohm resistor is determined to be 2 A, based on the total resistance of 12 ohms calculated from the circuit configuration. The potential difference across the 4.0-ohm resistor is found to be 8 V using the formula V = IR. Participants also discuss the need to calculate the current through a 6.0-ohm resistor and the potential difference across the remaining circuit components. The calculations emphasize the application of Ohm's Law and the principles of series and parallel circuits.
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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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