Electrical principles DC kirchoffs and maxwells laws

In summary, the conversation is about using Kirchoff's laws to determine the current in each branch of a network. The person has tried using both Kirchoff's and Maxwell's circulating currents, and while they get the right answer with Maxwell's, they are unsure about Kirchoff's. They have attached their attempts, which can be rotated for better viewing. The person also mentions trying the problem with and without a 12 V source and suspects it may be a sign convention issue. They are seeking help and appreciate any assistance.
  • #1
lubo
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Homework Statement


Using Kirchoff's laws, determine the current in each of the branches in the network shown.


Homework Equations



I have used both kirchhoffs and Maxwells circulating currents. I get the right answer with maxwell's but not sure with Kirchoffs

Maxwells is on the left side and Kirchoffs on the right.

The Attempt at a Solution



Please see attached and all tries. I have just attached it, but if there is a better way please let me know? When I type it all it takes a lot of time. Sorry it is upside down, I thought I had changed it. Go to View and rotate it.
 

Attachments

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  • #2
I have tried it with and without the 12 V source. I am not sure if I am missing something. I think it might be a sign convention issue but I am not sure. I get the right answer with Maxwell's Circulating Currents but nothing seems to work with Kirchoff's. Any help would be appreciated. Thanks.
 

FAQ: Electrical principles DC kirchoffs and maxwells laws

What are Kirchoff's Laws and how are they used in electrical principles?

Kirchoff's Laws are two principles that govern the behavior of electrical circuits. The first law, also known as Kirchoff's Current Law, states that the total current entering a junction in a circuit must equal the total current leaving the junction. The second law, known as Kirchoff's Voltage Law, states that the sum of all voltages around a closed loop in a circuit must equal zero. These laws are used to analyze and solve complex electrical circuits.

What is the difference between DC and AC circuits?

DC (Direct Current) circuits use a constant, unidirectional flow of electric charge, while AC (Alternating Current) circuits use a periodically changing flow of electric charge. In DC circuits, the polarity and magnitude of the voltage and current do not change, while in AC circuits, the polarity and magnitude of the voltage and current change periodically.

How do Maxwell's Laws relate to electrical principles?

Maxwell's Laws, also known as Maxwell's Equations, are a set of four equations that describe the fundamental laws of electricity and magnetism. These equations mathematically describe how electric and magnetic fields interact with each other and how they are affected by charges and currents. Maxwell's Laws are essential in understanding the behavior of electrical circuits and electromagnetic waves.

What is the role of resistance in electrical circuits?

Resistance is a fundamental property of materials that describes how difficult it is for electric current to flow through them. In electrical circuits, resistance is used to control the amount of current flowing through a circuit. It is commonly represented by the symbol "R" and is measured in Ohms (Ω). The higher the resistance, the lower the current flow.

Can you explain Ohm's Law and how it applies to DC circuits?

Ohm's Law is a fundamental law in electrical engineering that relates voltage, current, and resistance in a circuit. It states that the current through a conductor is directly proportional to the voltage applied and inversely proportional to the resistance of the conductor. In other words, the higher the voltage, the higher the current flow, and the higher the resistance, the lower the current flow. Ohm's Law is widely used in DC circuits to calculate the values of voltage, current, and resistance.

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