Construct an electrical circuit to find the values of Xa, Xb, and Xc in this system of equations:
21Xa – 10Xb – 10Xc = 1
–10Xa + 22Xb – 10Xc = –2
–10Xa – 10Xb + 20Xc = 10
Your circuit should include only the following elements:
- one 1Ω resistor
- one 2Ω resistor
- three 10Ω resistors
- three ideal constant voltage sources
- three ideal ammeters
The circuit should be designed such that each ammeter displays one of the values, Xa, Xb and Xc.
Given that the Xa, Xb and Xc values represent currents, what kind of circuit analysis yields equations in this form?
You get equations in this form when you do mesh analysis of a circuit. Each equation represents the sum of the voltages around one loop in the mesh.