Using Kirchoff's laws to find current in complex circuit

In summary, the conversation is about solving a circuit using Kirchhoff's laws and the equation V=IR. The person attempted to solve the problem but got stuck when trying to find an expression for loop one on the diagram. They asked for help and received a tip to help them with the loop sums.
  • #1
NihalRi
134
12

Homework Statement


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IMG_0280.JPG


Homework Equations


V=IR and kirchhoffs laws

The Attempt at a Solution



Number three is my attempt at finding a solution but I got stuck when I had to find an expression for loop one on the diagram. Thanks in advance for your help

https://www.physicsforums.com/attac...7/?temp_hash=33c1cfe87b4a06969362558ec51465bc[/B]
 

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  • #2
Image too faint to read - which loop did you have trouble with? - please type out the attempt.
A trick to getting the loop sums right is to put potential diffrerence arrows on all voltage sources and resistors. The PD goes negative to positive for batteries, and goes opposite the labelled current for resistors.
When you traverse a loop, add the arrows you go in the same direction with and subtract the others.
 
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FAQ: Using Kirchoff's laws to find current in complex circuit

What are Kirchoff's laws?

Kirchoff's laws are fundamental principles in circuit analysis that describe the behavior of current and voltage in an electrical circuit. These laws are based on the conservation of energy and charge.

How do I apply Kirchoff's laws to find current in a complex circuit?

To apply Kirchoff's laws, you will need to use Kirchoff's Current Law (KCL) and Kirchoff's Voltage Law (KVL). KCL states that the sum of all currents entering and leaving a node in a circuit must equal zero, while KVL states that the sum of all voltage drops in a closed loop must equal the sum of all voltage sources in that loop.

What is the difference between series and parallel circuits?

In a series circuit, all components are connected in a single path, and the same current flows through each component. In a parallel circuit, the components are connected in multiple paths, and the voltage is the same across each component while the total current is divided among them.

Can Kirchoff's laws be used in circuits with only DC sources?

Yes, Kirchoff's laws can be used in circuits with only DC (direct current) sources. These laws are applicable to any circuit with resistive elements, regardless of the type of voltage sources.

Are there any limitations to using Kirchoff's laws?

Kirchoff's laws are based on ideal conditions and may not always accurately predict the behavior of real-world circuits. They assume linear elements and do not take into account factors such as capacitance, inductance, and non-linear components. Additionally, they may not be applicable in circuits with changing magnetic fields or high frequencies.

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