DP 3-6 The input to the circuit shown in Figure DP 3.6 is the current source current, i_s. The output is the current i_o. The output is related to the input by

The output of the current divider is proportional to the input. The constant of proportionality, g, is called the gain of the current divider and is given by

The power supplied by the current source is

Where

is called the input resistance of the current divider.

(a) Design a current divider to have a gain, g = 0.65.

(b) Design a current divider to have a gain, g = 0.65, and an input resistance, R_in = 10000 Ω.

Figure DP 3.6

If there are no other conditions then we have

So

Thus

or

So choose either resistor and you have the other from one of these equations.

(a) Design a current divider to have a gain, g = 0.65.

Last time chose , this time let’s choose and now find R₂

So solution is

(b) Design a current divider to have a gain, g = 0.65, and an input resistance, R_in = 10000 Ω.

So we have two conditions

and

using

Plugging this into the equation above we can solve for R₂

Solve R₂

There are many possible answers for Part (a)

One possible answer is

For Part (b)

Dr. Donovan's Classes Page	Dr. Donovan's PH 320 Homework Page	PH 320 Homework Chapter 3 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 January 24, 2019