Electricity and Kirchhoff's Laws

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SUMMARY

The discussion centers on applying Kirchhoff's Laws to analyze a circuit with two batteries in parallel: one 10V with a resistance of 5Ω and another 5V with a resistance of 2Ω, connected to a 3Ω resistor and a 20Ω resistor. The user calculated the current flowing from the 10V battery to be 1.56 A. The application of Kirchhoff's two laws—current conservation at junctions and the algebraic sum of electromotive forces (emfs) equating to potential drops—was confirmed to be correctly utilized in the solution.

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  • Understanding of Kirchhoff's Laws
  • Basic knowledge of Ohm's Law (V = IR)
  • Familiarity with circuit analysis techniques
  • Ability to solve equations involving resistances in parallel
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  • Learn about circuit simulation tools like LTspice for practical verification
  • Explore the concept of equivalent resistance in parallel circuits
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Homework Statement



Given two batteries in parallel, one of 10V and 5Ω, and the other of 5V and 2Ω, which is attached to a 3Ω resistor, find the current that flows from the 10V battery, if the system described above is connected to a 20 resistor.

Homework Equations



Kirchhoff's two laws : (1) Current entering a junction = current leaving junction, (2) Algebraic sum of emfs = sum of all potential drops;

V = IR

The Attempt at a Solution



I think I used the laws correctly, and ended up with a final answer of 1.56 A. My attempt is attached below (the 2nd photo).

Thing is, I'm not sure if this is correct...
 

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Pulser18 said:

Homework Statement



Given two batteries in parallel, one of 10V and 5Ω, and the other of 5V and 2Ω, which is attached to a 3Ω resistor, find the current that flows from the 10V battery, if the system described above is connected to a 20 resistor.

Homework Equations



Kirchhoff's two laws : (1) Current entering a junction = current leaving junction, (2) Algebraic sum of emfs = sum of all potential drops;

V = IR

The Attempt at a Solution



I think I used the laws correctly, and ended up with a final answer of 1.56 A. My attempt is attached below (the 2nd photo).

Thing is, I'm not sure if this is correct...

Your solution looks fine.
 

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