Find the current through and the potential difference of resistor

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SUMMARY

The discussion focuses on calculating the current through and the potential difference across a 4.0 ohm resistor in a circuit. The current is determined using Ohm's Law (I = V/R), resulting in a current of 6 A when the voltage is 24 V. The total resistance of the circuit is calculated to be 12 ohms, leading to a current of 2 A through the circuit. The potential difference across the 4.0 ohm resistor is subsequently found to be 8 V using the formula V = IR.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Knowledge of series and parallel resistor combinations
  • Familiarity with basic electrical circuit concepts
  • Ability to perform calculations involving voltage, current, and resistance
NEXT STEPS
  • Study series and parallel resistor circuits in detail
  • Learn about Kirchhoff's laws for circuit analysis
  • Explore advanced applications of Ohm's Law in complex circuits
  • Investigate the impact of varying resistor values on circuit performance
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone looking to understand circuit analysis and resistor behavior in electrical systems.

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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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