This problem will ask you to find the Thevenin equivalent circuit at the termina

Question

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

For help, we will ask you for quantities step by step; this should allow you to find the Thevenin parameters in an organized manner. It might be useful to refer to previous problems on that topic too.

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

Notice that v2 = v. We will first find VTh; consider i=0 for Parts a-d below.

a) For all statements below,

Select all that are True.
? v1 + v2 = VS
? i1 = -i2
? v1 + v2 = -VS
? i1 = i2

Now you will find i1 and v2. You may use any method of your choice! You could find i1 first, and then v2 (or use the Voltage Divider Rule to find v2 first, and then i1).

b) i1 = ? amps

c) v2 = ? volts

From all previous results, deduce the value of VTh:

d) vTh = ? V

Now you will find RTh without any guidance, or steps. You may use any method of your choice!

e) RTh = ? Ohms

Explanation / Answer

a).
? v1 + v2 = VS
? i1 = i2

b). i1= - 1/1700 =- 5.88 * 10^-4A
c). v2 = -i1* R2= -0.47V

d). Vth = - 0.47V

e).Rth = R1R2/(R1+R2) = 423.53ohms

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