Solve Node Voltage Equations for Circuit w/ 10V Power Source

[lostinhere]

Can anyone help me find node-voltage equations for this circuit. The 10V power source is throwing me. Thanks.

 

[Astronuc]

Taking the - terminal of the 20V source as reference, or ground, the node above the 20 V source is +20 V above ground.


The node just above the 10 V source is -10V with respect to ground, i.e. the negative terminal of the 20V source.

 

[lostinhere]

I have this much
Node 1: between the 25k resistor and the 11mA source)
node 2: between the 500 ohm resitor, 10v source, 1k resistor and 500 resistor and the 11mA source
V1: voltage across the 250 resistor
V2: voltage arcross the 1k resistor
reference node at the bottom of the pic
node1: (V1-20)/25K+V1/250+.011+(V1-V2)/500=0
node2: -.011+V2/1000+(V1-V2)/500+...=0

I'm not quite sure how to hande the 10v supply.

 

[lostinhere]

.....nvm

 

[berkeman]

I have this much
Node 1: between the 25k resistor and the 11mA source)
node 2: between the 500 ohm resitor, 10v source, 1k resistor and 500 resistor and the 11mA source
V1: voltage across the 250 resistor
V2: voltage arcross the 1k resistor
reference node at the bottom of the pic
node1: (V1-20)/25K+V1/250+.011+(V1-V2)/500=0
node2: -.011+V2/1000+(V1-V2)/500+...=0

I'm not quite sure how to hande the 10v supply.

There's only one unknown -- the voltage V1. Call the bottom rail ground, then you only have to solve for V1 to know all the voltages and currents in the circuit. The V2 is just -10V, set by the voltage source on the right.

The answer for V1 is a nice round number (hint), and you can check your work by using that answer to figure out the 3 unknown currents flowing in/out of the V1 node. They should sum to zero, or you didn't solve your node 1 equation above correctly.

Post the answer!

 

[rockerboi]

its so easy and so basic...my professor gives us too complicated circuits..