How Do You Solve the Supernode Equation Involving Node C?

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Homework Help Overview

The discussion revolves around solving a supernode equation in a circuit analysis context, specifically focusing on node C and its relationship with other nodes and components in the circuit.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the equations related to node C and question whether the resistor between nodes B and C should be included in the analysis. There is also a mention of a voltage source affecting node C directly.

Discussion Status

The discussion is active with participants exploring different interpretations of the equations. Some guidance has been offered regarding the treatment of voltage sources and constraints, but there is no explicit consensus on the correct approach to node D.

Contextual Notes

Participants are working under the constraints of a circuit analysis problem, with specific equations provided and assumptions about voltage sources and resistors being questioned. There is a noted error in the equations related to node D that remains unresolved.

noname1
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I am trying to resolve this super node but i am having trouble with the equation, more specifically node c, this is where i got so far


5 = Va/20 +(Va - Vd)/10 + (Vb - Vc)/12.5
-10 = (Vd - Va)/10 + Vd/25
-Va + Vb = 100

please explain the c node equation
 

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Assuming the positive end of the 150 volt battery is connected to node C, then the equation is simply: Vc = 150
 
but don't we have to include the 12.5 resistor from node b to node c?
 
That resistor is taken care of by your first equation.

When you have a voltage source connected from ground to some node, you need a (constraint) equation that simply says that the voltage at (in this case) node C is 150 volts.

It's similar to your third equation.
 
i am getting an error on node d can anyone tell me what i am doing wrong, its the 3rd equation on the last process
 

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I think that equation should be:

-5Va + 7Vd = -500

For final answers, I get:

Va = 11.712
Vb = 111.712
Vc = 150
Vd = -63.063
 

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