P 4.8-1 The circuit shown in Figure P 4.8-2 has two inputs, v_s and i_s, and one output v_o. The output is related to the inputs by the equation v_o = ai_s + bv_s where a and b are constants to be determined. Determine the values a and b by

(a) writing and solving mesh equations and

(b) writing and solving node equations.

Figure P 4.8-1

Identify Mesh Currents and Voltage Nodes

(a) writing and solving mesh equations and

Since there is a current source, the left loop just has a current of i_s in it. Now the two other loop mesh equations:

Now we find v₀ from relationship

Using the second mesh equation we can solve for i₂

Plug this into v₀ equation

So

(b) writing and solving node equations.

Writing out node equations

v_c and v₀ form a supernode and have the following two equations

And

Solve this equation for v_a

Plug this into v_a node equation

Now use other supernode equation

Now solve for v₀

So

As we had before

Dr. Donovan's Classes Page	Dr. Donovan's PH 320 Homework Page	PH 320 Homework Chapter 4 Page
Dr. Donovan's Main Web Page	NMU Physics Department Web Page	NMU Main Page

Please send any comments or questions about this page to ddonovan@nmu.edu

This page last updated on February 6, 2019