Kirchhoff's rule and multivariable algebra

In summary, the person is seeking suggestions on how to solve for at least one variable using three given equations involving voltage/current physics. They believe the first step is to expand the third equation and are unsure of the next step. Another person suggests solving for A in the second equation and plugging it into the third equation. The original person confirms this is what they meant and asks for further clarification.
  • #1
FiveAlive
16
0
I'm working on some voltage/current physics problems and I think I understand the concepts however I believe the algebra is holding me back(not my strong point). Could someone make some suggestions how I could solve for at least one of these variables by using a combination of theses three equations?

eq 1) A+B=H

eq 2) A(0.1) + 12 = B(0.01) +14

eq 3) B(0.01) + H(1.20) = 12

I believe that the first step is to expand eq 3 since H=A+B into

B(0.01) + A(1.2) + B(1.2) = 12 but beyond that I am unsure.

thanking you in advance,
Linus
 
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  • #2
Solve eq 2) for A. Plug that into your last equation
 
  • #3
Is this what you mean?

A(0.1) + 12 = B(0.01) +14
A= 20+ B(0.1)


Cheers, thanks so much.
 
  • #4
FiveAlive said:
Is this what you mean?

A(0.1) + 12 = B(0.01) +14
A= 20+ B(0.1)


Cheers, thanks so much.

Yes.

Now put {20+ B(0.1)} into B(0.01) + A(1.2) + B(1.2) = 12 , in place of A.
 

FAQ: Kirchhoff's rule and multivariable algebra

What is Kirchhoff's rule?

Kirchhoff's rule, also known as Kirchhoff's circuit laws, refers to two fundamental laws in electrical circuit theory that describe the behavior of current and voltage in a closed loop circuit. These rules are used to calculate the values of current and voltage in a circuit and are essential for understanding and analyzing complex circuits.

What is the first law of Kirchhoff's rule?

The first law, also known as Kirchhoff's current law, states that the sum of currents entering a node (or junction) in a circuit must be equal to the sum of currents leaving the node. This law is based on the principle of conservation of charge and is used to determine the unknown currents in a circuit.

What is the second law of Kirchhoff's rule?

The second law, also known as Kirchhoff's voltage law, states that the algebraic sum of all voltages around a closed loop in a circuit must equal zero. This law is based on the principle of conservation of energy and is used to determine the unknown voltages in a circuit.

How is multivariable algebra used in Kirchhoff's rule?

Multivariable algebra is used in Kirchhoff's rule to solve for multiple unknown variables in a circuit. The equations for Kirchhoff's current law and voltage law often involve multiple variables, and solving these equations requires the use of multivariable algebra techniques such as substitution or elimination.

What are some real-world applications of Kirchhoff's rule and multivariable algebra?

Kirchhoff's rule and multivariable algebra are used extensively in the design and analysis of electrical circuits in various industries, including electronics, telecommunications, and power systems. They are also used in fields such as physics and engineering to analyze complex systems and phenomena involving the flow of electricity.

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