Solving Circuits with Kirchoff's Laws

In summary, the conversation discusses a circuit problem and the shortest method for solving it. The person asking for help has learned Kirchoff's laws but finds the traditional solution too long. They are looking for a quicker method, possibly using determinants, and have provided their attempted solution using Kirchoff's laws. The expert offers to solve the problem using the traditional method and suggests that using determinants may not make the process any faster.
  • #1
meczs
7
0
http://www.pa.msu.edu/courses/1997spring/PHY232/lectures/kirchoff/examples.html"

how can you solve my circuit (that i attached) using that procedure... in that site.. i saw it last week... that's the shortest way i seen... can you help me.. thankss
 

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  • #2
Did you learned Kirchoff's laws ? Show your work.
 
  • #3
yah i learned it... but it is the longest solution... i hate that... i want the shortest method... that i found in that site.. can you solve it using that method?

i put the answer @ my attachment

here is the solution I've learned

@node B
i1 + 12 - i3 = 0
i3 = i1 + i2 that is for eq. 1

@loop abefa
E1 + E2 -15i1 +26i2
40v + 50v -15i1 +26i2
90 + 26i2 / 15i1 eq. 2

@loop bcdeb
-E2 -E3 -26i2 -37i3
-50 -60 -26i2 -37i3
-110 -37i3 / 26i2 eq. 3

that is the my sample solution I've learnd... but it is not finish.. like i said; that is the longest solution... hoping that you understand it...

(sorry bad grammar)
 
  • #4
You need to set the second two things equal to zero to make them equations. That gives you 3 equations and 3 unknowns -- just solve away. There's not really a quicker way to solve it that I know of, unless you mean using determinants to solve the simultaneous equations. In this circuit, the equations are simple enough that solving with determinants won't save you any time.
 

FAQ: Solving Circuits with Kirchoff's Laws

How do Kirchoff's Laws help in solving circuits?

Kirchoff's Laws are fundamental principles in circuit analysis that help to determine the voltage and current in a circuit. They provide a systematic approach to solving complex circuits by applying the principles of conservation of charge and energy.

What are the two laws in Kirchoff's Laws?

Kirchoff's Laws consist of two laws: Kirchoff's Current Law (KCL) and Kirchoff's Voltage Law (KVL). KCL states that the sum of currents entering a node in a circuit must equal the sum of currents leaving the node. KVL states that the sum of voltage drops in a closed loop in a circuit must equal the sum of voltage sources in that loop.

How do you apply Kirchoff's Laws in solving circuits?

To apply Kirchoff's Laws, you first need to draw a circuit diagram and label all the components and their values. Then, using KCL, write an equation that equates the sum of currents entering and leaving each node. Similarly, using KVL, write an equation that equates the sum of voltage drops and voltage sources in each closed loop. Finally, solve the simultaneous equations to obtain the values of voltage and current in the circuit.

What are some tips for solving circuits using Kirchoff's Laws?

One helpful tip is to choose a direction for the current in each branch of the circuit and stick with it throughout the analysis. Another tip is to label each node and loop with a unique identifier to avoid confusion. Additionally, it is important to pay attention to the signs and polarities of the components in the circuit when applying Kirchoff's Laws.

Can Kirchoff's Laws be used for any type of circuit?

Yes, Kirchoff's Laws can be used to solve both DC and AC circuits, as well as circuits with multiple sources and complex configurations. However, for circuits with nonlinear components, Kirchoff's Laws may need to be combined with other methods such as Thevenin's or Norton's theorem to obtain a solution.

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