Often it is useful to model complex chips as simple linear equivalent models to determine the effects of the current draw and to ensure safe operation of the circuit. Consider the circuit shown in figure 5, it is a model of a digital microprocessor circuit. Each current source represent the current drawn by a portion of a digital circuits in the microprocessor. The resistors represent the power distribution network from the supply to that portion of the processor. Each current source can only have the following values: either be off i.e. 0 or have a value of I.. The reason being digital circuits when they are not performing a computation consume zero power and when operational they consume an average current (in this case I). In our model all portions consume the same current when they are operational. Power Supply V (+ Linear Model of a Digital Microprocessor V₁ V₂ V 3 ww R₁ R₂ 1₂ + R3 Figure 5: Linear Model of the microprocessor 13 (a) Given the possible values for I₁, I2 and 13, what are the maximum and minimum values that V₂ can exhibit? Express your answer in terms of V, I, R₁, R2 and R3.

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Often it is useful to model complex chips as simple linear equivalent models to determine
the effects of the current draw and to ensure safe operation of the circuit. Consider the
circuit shown in figure 5, it is a model of a digital microprocessor circuit. Each current
source represent the current drawn by a portion of a digital circuits in the microprocessor.
The resistors represent the power distribution network from the supply to that portion
of the processor.
Each current source can only have the following values: either be
off i.e. 0 or have a value of I.. The reason being digital circuits when they are not
performing a computation consume zero power and when operational they consume an
average current (in this case I). In our model all portions consume the same current
when they are operational.
Power Supply
V (+
Linear Model of a Digital Microprocessor
V₁
ww
R₁
1
I₁
mm
R₂
2
1₂
V₂
→
ни
R3
Figure 5: Linear Model of the microprocessor
13
3
(a) Given the possible values for I1, I2 and 13, what are the maximum and
minimum values that V/2 can exhibit? Express your answer in terms of V, I, R₁,
R₂ and R3.
Transcribed Image Text:Often it is useful to model complex chips as simple linear equivalent models to determine the effects of the current draw and to ensure safe operation of the circuit. Consider the circuit shown in figure 5, it is a model of a digital microprocessor circuit. Each current source represent the current drawn by a portion of a digital circuits in the microprocessor. The resistors represent the power distribution network from the supply to that portion of the processor. Each current source can only have the following values: either be off i.e. 0 or have a value of I.. The reason being digital circuits when they are not performing a computation consume zero power and when operational they consume an average current (in this case I). In our model all portions consume the same current when they are operational. Power Supply V (+ Linear Model of a Digital Microprocessor V₁ ww R₁ 1 I₁ mm R₂ 2 1₂ V₂ → ни R3 Figure 5: Linear Model of the microprocessor 13 3 (a) Given the possible values for I1, I2 and 13, what are the maximum and minimum values that V/2 can exhibit? Express your answer in terms of V, I, R₁, R₂ and R3.
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