Solving Voltage/Current in Resistor Circuits

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SUMMARY

This discussion focuses on solving voltage and current problems in resistor circuits, specifically using Ohm's Law. The first problem involves calculating the current through a 9-ohm resistor connected in series with 2-ohm, 4-ohm, and 3-ohm resistors across an 8-V DC source, leading to a total resistance of 18 ohms. The second problem addresses finding the voltage across a 40-ohm resistor in a circuit with 20-ohm, 60-ohm, and 80-ohm resistors connected to a 100 V DC source. Key formulas discussed include Ohm's Law (I = V/R) and the equivalent resistance formulas for series and parallel circuits.

PREREQUISITES
  • Understanding of Ohm's Law (I = V/R)
  • Knowledge of series and parallel resistor configurations
  • Familiarity with calculating equivalent resistance
  • Basic concepts of voltage, current, and resistance
NEXT STEPS
  • Research the differences between series and parallel circuits
  • Learn how to calculate voltage drops across resistors in series circuits
  • Study the formula for equivalent resistance in parallel circuits (1/R_eq = 1/R1 + 1/R2 + ... + 1/Rn)
  • Explore practical applications of Ohm's Law in real-world electrical circuits
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of circuit analysis and resistor behavior.

  • #31
Good, so Req = 2+4+3+9 ohms = 18 ohms.

In a series circuit there is only one path for current to take so all of the current flows through all of the resistors. (Are you sure that you know what a series circuit looks like?)

Using Ohms law I=V/R you can calculate the current in your circuit. Use the voltage you were given and the resistance you calculated. What do you get?
 
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  • #32
8/18

If it's in parallel what's the formula for finding the total Resistance?
 
Last edited:
  • #33
if resistors are in parallel you want to know the formula for finding the total resistance...?

1/R_eq = 1/R1 + 1/R2 + ... + 1/Rn
 
  • #34
Ok, thank you.
 

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