There are three equations with three unknowns. You can use the substitution method.Pao44445 said:
There are other methods of analysis, some of which will yield fewer equations to solve. But you haven't learned of these methods yet, and they won't be taught until you've learned the fundamentals of Kirchhoff's laws. All other methods are based upon this foundation.Pao44445 said:
Modify Equ 2: 45-I3-47*I3-34*I1 = 0;FactChecker said:
I2 = (-45 + 82*I1) / -82 = 45/82 - I1 = 0.55 - I1
Modified last equ: -47*I1 - 66*I2 = -130;
19*I1 + 36.3 = -130;
I2 = 0.55 - I1 = 0.55 - (-8.75) = 9.30
I3 = I1 + I2 = -8.75 + 9.30 = 0.55
I1 = -8.75;
I can affirm that these values are not correctFactChecker said:
Sorry. I will limit my answers more in the future. I wanted to give a detailed outline of the substitution method. I knew that the answer was wrong and said that he should check the work so that he would go through it in detail and correct it. I know the correct values.gneill said:I can affirm that these values are not correct
And FactChecker, you should be aware that doing the work for the member requesting help is against the rules. We can only guide the member to a solution via hints, suggestions for research, pointing out errors, and so forth. They have to do the heavy lifting themselves.
A better approach would be to present a correct but unrelated example, or steer the member to a tutorial on the web.FactChecker said:
Junction and loop rules are fundamental principles used in circuit analysis to determine the voltage and current at different points in a circuit. The junction rule, also known as Kirchhoff's current law, states that the sum of currents entering a junction must equal the sum of currents leaving the junction. The loop rule, also known as Kirchhoff's voltage law, states that the sum of voltage drops in a closed loop must equal the sum of voltage rises in that loop.
To find voltage using junction and loop rules, you must first draw a circuit diagram and label all the known and unknown values. Then, using the junction rule, you can write an equation for each junction in the circuit. Similarly, using the loop rule, you can write an equation for each closed loop in the circuit. Solving these equations simultaneously will give you the values of the unknown voltages.
Yes, junction and loop rules can be applied to any type of circuit, whether it is a simple circuit with just a few components or a complex circuit with multiple branches and loops. These rules are based on fundamental principles of electricity and are universally applicable.
While junction and loop rules are powerful tools for circuit analysis, they do have some limitations. These rules assume that the circuit is in a steady state and that the components are ideal, without any internal resistance. In reality, circuits may have non-ideal components and may not be in a steady state, which can affect the accuracy of the results obtained using junction and loop rules.
Yes, there are other methods for finding voltage in a circuit, such as using Ohm's law or using a voltmeter to directly measure the voltage at a specific point. However, junction and loop rules are often the preferred method as they allow for the analysis of complex circuits and can be applied to circuits with non-ideal components and varying current and voltage values.