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nodal analysis?

ashmellor

Nov 10, 2011
2
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Nov 10, 2011
Messages
2
hi all
im trying to complete nodal analysis of some simple circuits, i have sets of values from the mesh current method and am struggling with nodal voltage analysis. any pointers? for example the simple circuit below:


component values:

Vs1 = 5v, Vs2 = 20v, R1 = 20, R2 = 5 and R3 = 5.

circuit1.jpg
 

Laplace

Apr 4, 2010
1,252
Joined
Apr 4, 2010
Messages
1,252
This is a particularly easy example. There is only one node whose voltage is determined by the circuit and the applied voltage sources, so only one node equation is necessary. The sum of all currents entering and leaving node V1 must equal zero. Any particular current either entering or leaving the V1 node has the form:

(V1-(voltage at other node))/(resistance between node V1 and the other node)

Just add them all up and set the sum equal to zero. That is your node equation.
 

sherjan

Nov 8, 2011
5
Joined
Nov 8, 2011
Messages
5
Dear there is one node so the equation will be

(V1-5)/20+V1/5+(V1-20)/5=0

By solving this equation we get

V1=9.4v

now the voltage across R1=V1-V0=9.4 - 5=4.4v
--------------------------------R3=V2-V1=20-9.4=10.6V
--------------------------------R2=V1=9.4v
 
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