Circuit Nodal voltage question out thanks

[engineer_dave]

Circuit Nodal voltage question...please help out thanks!

Homework Statement

The question is as follows:

Start with KCL for the nodes and write the node voltage equations for the nodes V1 and v2 in the circuit (diagram is attached to this post). They do not want me to solve the equations but just simplify to gather the coefficents.

Homework Equations

KCL

The Attempt at a Solution

I marked node one where v1 is. So for node 1 it would be (v1- 30)/10 + (v1-v2)/8 + v1/6=0

I marked node 2 where v2 is. So for node 2 it would be (v2- v1)/8 + (v2+20)/4=0

Still, I am not that sure about my node 2 equations although my node 1 may be correct. Please help! THanks!

 

[alvaros]

What does KCL mean ?
node 2 is wrong, you forgot 2 Ohms resistor.

 

[engineer_dave]

Can u please elaborate and write down the node 2 equation. Thanks

 

[engineer_dave]

what would be the thing for the 2 ohm resistor then?

 

[alvaros]

(v2- v1)/8 + (v2+20)/4 + v2/2 =0

you didnt answer me:

What does KCL mean ?

 

[malawi_glenn]

Kirchoffs law I suppose