Hello there,
For those that like solving networks here is a not too difficult one that only involves resistors and a single voltage source. However, there are a lot of resistors
The resistors form a nice symmetrical grid too.
So see what you can come up with, and see if you can figure it out in whole or in part without actually calculating too much, or if you feel you have to calculate a lot then go right ahead and do so. I can assure you it is interesting.
In this simpler example, all the resistors have the same value, 10 Ohms each. And only one voltage source, which is 10 volts DC. No other complications. One end of the 'diamond' is connected to 10v (E1 in the schematic) and the bottom point of the 'diamond' is connected to ground which is zero volts. That's it. The schematic is shown in the attachment, and as drawn two green horizontal lines pass through two nodes where each horizontal set has the same voltage for both nodes (but note the bottom set is not the same voltage as the top set of course).
The challenge is to find the other horizontal voltages or at least explain how they might be found (such as a simplification or something), or say something that seems important about the network as is.
Note the voltages are the node voltages and are labeled by row and column, such as v11, v12, v13, etc., but only the first and last for each row are shown in the diagram.
Here we go:
For those that like solving networks here is a not too difficult one that only involves resistors and a single voltage source. However, there are a lot of resistors
The resistors form a nice symmetrical grid too.
So see what you can come up with, and see if you can figure it out in whole or in part without actually calculating too much, or if you feel you have to calculate a lot then go right ahead and do so. I can assure you it is interesting.
In this simpler example, all the resistors have the same value, 10 Ohms each. And only one voltage source, which is 10 volts DC. No other complications. One end of the 'diamond' is connected to 10v (E1 in the schematic) and the bottom point of the 'diamond' is connected to ground which is zero volts. That's it. The schematic is shown in the attachment, and as drawn two green horizontal lines pass through two nodes where each horizontal set has the same voltage for both nodes (but note the bottom set is not the same voltage as the top set of course).
The challenge is to find the other horizontal voltages or at least explain how they might be found (such as a simplification or something), or say something that seems important about the network as is.
Note the voltages are the node voltages and are labeled by row and column, such as v11, v12, v13, etc., but only the first and last for each row are shown in the diagram.
Here we go:
Attachments
-
27 KB Views: 62