To calculate:
If we apply Kirchhoff’s law to the electrical network in the figure, the currents
Answer to Problem 67E
The values of the currents are
Explanation of Solution
Given information:
The given equations are
Calculation:
We can solve these equations by elimination method.
First, let us add equation 2 and 3 and then we get a equation with all three variables. Then we can eliminate any one of the variable.
Now we can solve equation 1 and the above formed equation to eliminate the variables.
Let us multiply equation 1 by 4 so that we can eliminate.
Let us add these both equations now,
Now we have a equation in two variable we can make into a equation which can be substituted into other.
Now we can substitute this in equation 2.
Now solving the above equation and equation 3 we get,
Multiply equation 3 by 7 and the above equation by 2 then we subtract them we get
By subtracting them we get,
Substitute this value in equation 3 we get
Substitute this in equation 2 we get the other variable.
Conclusion:
The values of the currents are
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning