Using Thevenin's Theorem, rewrite the physical network from Figure 7 as an equivalent Thevenin Network, i.e. express Veq as a function of Vo and V₁ and Req as a value. If the voltage sources Vo and V₁ are the outputs of digital pins on an Arduino (i.e. 0 volts or 5 volts), what are the four possible values of Veq? Vol Physical circuit over V₁ 3.3ΚΩ Vout Thevenin-equivalent circuit Vegl Req W Figure 7: Resistor Network for Thevinin's Theorem Vout

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Using Thevenin's Theorem, rewrite the physical network from Figure 7 as
an equivalent Thevenin Network, i.e. express Veq as a function of V₁ and V₁ and
Req as a value. If the voltage sources Vo and V₁ are the outputs of digital pins
on an Arduino (i.e. 0 volts or 5 volts), what are the four possible values of Veq?
+
Vol
+
2R
Physical circuit
2R
VO
m
3.3ΚΩ
m
t
Figure 7: Resistor Network for Thevinin's Theorem
Using Thevenin's Theorem rewrite Vout from Figure 8 as a function of vo
through v3. We will consider these voltages to be the inputs of this circuit.
Since they are inputs, they can also be thought of as implicitly declared volt-
age sources. You may expand vo through v3 as voltage sources (referenced to
ground) to make the circuit more clear. For analysis, you will find it most useful
to break the circuit and cascade Thevenin's Theorem from the left most point to
the right most point. Note the pattern that appears with each additional R-2R
m
R
Vout
section in your prelab. If the sources vo-3 are supplied by digital Arduino pins,
what are the possible values of Vout? You can present this in a table similar to
table 2.
V1
2R
Thevenin-equivalent circuit
R
V2
Veg
♡
2R
R
Req
m
V3
2R
Vout
R
m
Figure 8: R-2R Resistor Ladder
- Vout
Transcribed Image Text:Using Thevenin's Theorem, rewrite the physical network from Figure 7 as an equivalent Thevenin Network, i.e. express Veq as a function of V₁ and V₁ and Req as a value. If the voltage sources Vo and V₁ are the outputs of digital pins on an Arduino (i.e. 0 volts or 5 volts), what are the four possible values of Veq? + Vol + 2R Physical circuit 2R VO m 3.3ΚΩ m t Figure 7: Resistor Network for Thevinin's Theorem Using Thevenin's Theorem rewrite Vout from Figure 8 as a function of vo through v3. We will consider these voltages to be the inputs of this circuit. Since they are inputs, they can also be thought of as implicitly declared volt- age sources. You may expand vo through v3 as voltage sources (referenced to ground) to make the circuit more clear. For analysis, you will find it most useful to break the circuit and cascade Thevenin's Theorem from the left most point to the right most point. Note the pattern that appears with each additional R-2R m R Vout section in your prelab. If the sources vo-3 are supplied by digital Arduino pins, what are the possible values of Vout? You can present this in a table similar to table 2. V1 2R Thevenin-equivalent circuit R V2 Veg ♡ 2R R Req m V3 2R Vout R m Figure 8: R-2R Resistor Ladder - Vout
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