Kirchoff's Laws for Currents in a Circuit

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SUMMARY

This discussion focuses on applying Kirchoff's Laws to determine the currents through resistors in a circuit with two batteries, specifically 9.0 V and 17.0 V, and resistors R1 = 15 Ω, R2 = 20 Ω, and R3 = 34 Ω. The relevant equations include Kirchoff's Loop Rule (I1 + I2 + I3 = 0) and Kirchoff's Series Law (V1 + V2 + V3 = 0). The user has identified the direction of the currents but requires assistance in calculating their magnitudes using these laws.

PREREQUISITES
  • Understanding of Kirchoff's Loop Rule
  • Familiarity with Kirchoff's Series Law
  • Basic knowledge of circuit analysis
  • Ability to solve linear equations
NEXT STEPS
  • Calculate the current magnitudes using Ohm's Law in conjunction with Kirchoff's Laws
  • Explore circuit simulation tools like LTspice for visualizing current flow
  • Study advanced circuit analysis techniques such as nodal analysis
  • Review the impact of varying resistor values on current distribution in circuits
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of circuit analysis using Kirchoff's Laws.

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Homework Statement


Determine the magnitudes and directions of the currents through each resistor shown in Fig. 19-38. The batteries have emfs of [PLAIN]http://www.webassign.net/images/scriptE.gif1 = 9.0 V and [PLAIN]http://www.webassign.net/images/scriptE.gif2 = 17.0 V and the resistors have values of R1 = 15 [PLAIN]http://www.webassign.net/images/omegacap.gif, R2 = 20 [PLAIN]http://www.webassign.net/images/omegacap.gif, andR3 = 34[PLAIN]http://www.webassign.net/images/omegacap.gif.

Homework Equations


Kirchoff's Loop Rule: I1+I2+I3=0
Kirchoff's Series Law?: V1+V2+V3=0

The Attempt at a Solution


I've actually gotten the direction for all three, I just need some serious help calculating the magnitudes.
19_38.gif
 
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Show us your equations.

Chet
 

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