Can You Solve This Circuit Using Kirchhoff's Laws?

[miss.bossyy]

Identify the number and location of each of the items below. Assume that the resistances and source voltage are known.



Use the gray highlighted letters. Identify voltage drops across resistor Ri as Vi.





- How many nodes are there in this circuit? Where? ________________________

- How many loops possible? Where? ________________________



- How many current variables are there? ________________________

- Is this system solvable? (i.e., can you solve ________________________

for all of the currents?) Why?

b.) Set up the loop and node equations using Kirkhoff’s Laws (but do not solve them). Clearly identify the node or loop, including all directions, associated with each equation.

DRAW EACH CURRENT ON THE DIAGRAM ABOVE, CLEARLY SHOWING ITS DIRECTION!

Use the gray highlighted letters. Identify voltage drops across resistor Ri as Vi. (For example, the voltage drop across R1 is V1.)

c.) What is the algebraic method used for solving this system? (name?)

 

[Mindscrape]

We need you to start the problem off. Also, the figure you've given is missing some information. I, or anyone else, would need to know the connections that are there. If everything is connected then something is wrong, or it is a pointless problem, because you have 3 short circuits.

 

[baba89]

a) Number and location of items:

- Number of nodes: 5 (A, B, C, D, E)
- Number of loops: 3 (ABCD, BDE, ACDE)
- Number of current variables: 3 (I1, I2, I3)
- The system is solvable because there are the same number of equations (3) as unknowns (3).

b) Loop equations:

- ABCD loop: -V1 + V2 + V3 = 0
- BDE loop: -V2 + V4 = 0
- ACDE loop: -V3 + V5 = 0

Node equations:

- A node: I1 - I2 - I3 = 0
- B node: I2 - I1 = 0
- D node: I3 - I2 = 0
- E node: -I3 = 0

c) The algebraic method used for solving this system is called Kirchhoff's Circuit Laws.