DP 4-2 For the circuit shown in Figure DP 4-2, it is desired to set the voltage at node a equal to 0 V in order to control an electric motor. Select voltages v₁ and v₂ in order to achieve v_a = 0 V when v₁ and v₂ are less than 20 V and greater than zero and R = 2 Ω.

Figure DP 4-2

To write out node equations we need to label some nodes.

We have a supernode between a and b which produces the two equations

and

Setting Reduces the first equation to

Putting these values of v_a and v_b into the second equation produces

Cancel out the R’s

So with

Possible answers include

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 7, 2019