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Help writing node equations for circuit with dependent sources

jak anon

Oct 4, 2014
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Oct 4, 2014
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Hey. I am auditing a basic electronics course on edX. I have been understanding it pretty well, until this most recent topic of dependent sources. Attached is a picture of one of the problems I am currently working on. The problem has a hint to use superposition and a second dependent current source. I am to solve for the thevenin voltage (v2) at the terminals specified on the right hand side.

Do I have to use a second dependent current source, or can I write node equations without one and still be able to solve for vth? I am using a calculator to solve the equations, so complexity of node equations is not an issue. Here's what I thought I could write for the node equations:

dependent voltage source=4*i, where i=v1/850 v1 being the voltage at node 1

node 1:0.004=v1/850

node 2: [v2+ (4*i)]/750=0 where 4*i is my dependent voltage source

However, solving for those equations I am getting the wrong answer for v2=vth (should be 1.597 according to the homework)

What should the node equations look like?
 

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