Help Needed: Solving KCL Equations with Picture Provided

[xlu2]

Homework Statement

Homework Equations

KCL

The Attempt at a Solution

See picture. I got ix=i1. And I am stuck. Would someone please help me?

Many thanks in advance.

 

[CWatters]

I got ix=i1

Thats correct. The current through the 20kOhm must be 2i₁

How about writing some KVL equations.

 

[xlu2]

Thats correct. The current through the 20kOhm must be 2i₁

How about writing some KVL equations.

How can I write KVL without any resistors in some loops?

For the leftmost loop: (v2-v1)/5000=0
For the rightmost loop: (v4-v3)/20000=0

 

[CWatters]

First off you can simplify things..

V1 = V3
V2 = V4

Then write equations for the current through the 5k and 20k.

Edit: oh heck I've given you the current through the 20K already. Just write an eqn for the current in the 5k.

Then using those write equations for the voltage drop across the 5k and 20K.

Then write your KVL equation. Try the outer loop.

 

[xlu2]

First off you can simplify things..

V1 = V3
V2 = V4

Then write equations for the current through the 5k and 20k.

Edit: oh heck I've given you the current through the 20K already. Just write an eqn for the current in the 5k.

Then using those write equations for the voltage drop across the 5k and 20K.

Then write your KVL equation. Try the outer loop.

Since the current through 20K is 2i, and V1=V3 and V2=V4, the current through 20K can be expressed as (V4-V3)/20K=(V2-V1)/20K=2i

Substitute that back to my node V1: 8i-i=0.004. So i=0.000571429A?

 

[xlu2]

First off you can simplify things..

V1 = V3
V2 = V4

Then write equations for the current through the 5k and 20k.

Edit: oh heck I've given you the current through the 20K already. Just write an eqn for the current in the 5k.

Then using those write equations for the voltage drop across the 5k and 20K.

Then write your KVL equation. Try the outer loop.

Got it. Thanks!

 

[CWatters]

For what it's worth the equation I got was..

(4mA + i₁)*5000 - 2i₁*20,000 = 0

which can be solved for i₁