help me to find node voltage this is how i solve it but i think its contain many mistakes can aney one help me?

Question

an anyone tell me where are my mistakes? V2-v4=6.....1

1+(6/4)=(V1-V3)/6.....multipying by 12 .... 12+24=2v1-2v3.......2

V1-V3)/6=V3/3+(V4-V3)/2.... MULTIPYING BY 6...= v1-3=2v3+3v4-3v3

this question is need to find node voltage

Answer 1

I used falstad.com Circuit simulator Applet

Node A=17v B=9v C=12.33v I=333.33ma < D=gnd=0v

I(3Ω)=3A dn I(6Ω)=1.33A > I(2Ω)= 1.67A<

This should help with your calculations.

Download the simulator. It will help you when the circuits are a bear. It uses Spice. It's never wrong.

Answer 2

Let node D be the reference node, you have three nodes

Node A

1 amp = (Va - Vb)/6 +( Va -(Vc +6))/4

1 amp +6/4 amps = Va/6 - Vb/6 + Va/4 - Vc/4 = 5Va/12 - Vb/6 - Vc/4

2.5 amps = 5Va/12 - Vb/6 - Vc/4

multiply by 12

30 = 5Va - 2Vb - 3Vc call this equation 1



Node B

(Va - Vb)/6 + (Vc - Vb)/2 = Vb/3

Va/6 + Vc/2 = Vb/6 +Vb/2 + Vb/3

Va + 3Vc = 6Vb

0 = -Va + 6Vb - 3Vc call this eq 2



Node C

2 amps = (Vc - Vb)/2 + (Vc +6 - Va)/4

0.5 amps = 3Vc/4 - Vb/2 - Va/4

2 amps = 3Vc - 2Vb - Va call this eq 3

solve the 3 simultaneous equations

Va = 17 volts

Vb = 9 volts

Vc = 12.333 volts

Answer 3

The problem is that I have an error message "Failed to find initial ... of freedom that do not occur in any equation (empty columns in matrix) for ... coil above plate but in 3D, I'm stuck in this awkward situation and it's ... Thanks for your help ... In fact, in the definitions node I added an "Infinite Element domain 1" ..