This problem will ask you to find the Thevenin and Norton equivalent circuits at

Question

This problem will ask you to find the Thevenin and Norton equivalent circuits at the terminals A-B.

For help, let us define all variables and write them in the circuit (we chose arbitrary directions and polarities):

You may find the Thevenin circuit first or the Norton; it is up to you!

Find the Thevenin equivalent circuit at terminals A-B:

a) vTh =  ? V

b) RTh =  ? Ohms

Find the Norton equivalent circuit at terminals A-B:

c) iN =  ? mA

d) RN =  ? Ohms

R1 = 900 Ohms
R2 = 200 Ohms
is = 400 mA
vs = 9 V
R1 = 900 Ohms R2 = 200 Ohms is = 400 mA vs = 9 V This problem will ask you to find the Thevenin and Norton equivalent circuits at the terminals A-B. For help, let us define all variables and write them in the circuit (we chose arbitrary directions and polarities): You may find the Thevenin circuit first or the Norton; it is up to you! Find the Thevenin equivalent circuit at terminals A-B: a) vTh = ? V b) RTh = ? Ohms Find the Norton equivalent circuit at terminals A-B: c) iN = ? mA d) RN = ? Ohms

Explanation / Answer

Vth = vs-i1R1
here i1 = is = 0.4A

Vth = 9 - (0.4)(900) = -351V

Rth we will get by shorting the voltage source and opening the current source and Req acrosss ab

so Rth = R1 + R2 = 900 + 200 = 1100ohms

Norton
to find norton short ab and find the current through it
using superposition
0.327 - 8.18mA = 0.319A

iN = 0.319A

Rth will be same as thevenin = 1100ohms

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