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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 V 3 V₂ R₂ R3 *** R₁ 13 Figure 5: Linear Model of the microprocessor (d) If any node voltage inside the processor rises above a threshold value Vmax, then the part of the processor connected directly to that node will be damaged. Given the possible values for I₁, I2 and I3, what is the maximum value for V that guarantees that no part of the processor will be damaged? That is, what is the maximum value of V required to guarantee that V₁, V₂ and V3 never exceed Vmax ? Express your answer in terms of I, R₁, R₂ and R3, and Vmax-

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 V 3 V₂ R₂ R3 *** R₁ 13 Figure 5: Linear Model of the microprocessor (d) If any node voltage inside the processor rises above a threshold value Vmax, then the part of the processor connected directly to that node will be damaged. Given the possible values for I₁, I2 and I3, what is the maximum value for V that guarantees that no part of the processor will be damaged? That is, what is the maximum value of V required to guarantee that V₁, V₂ and V3 never exceed Vmax ? Express your answer in terms of I, R₁, R₂ and R3, and Vmax-

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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 V₂ 1 R₁ Z R₂ R3 13 V₂ 3 Figure 5: Linear Model of the microprocessor (d) If any node voltage inside the processor rises above a threshold value Vmax, then the part of the processor connected directly to that node will be damaged. Given the possible values for I₁, I2 and 13, what is the maximum value for V that guarantees that no part of the processor will be damaged? That is, what is the maximum value of V required to guarantee that V₁, V2 and V3 never exceed Vmax ? Express your answer in terms of I, R₁, R₂ and R3, and Vmax-
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 V₂ 1 R₁ Z R₂ R3 13 V₂ 3 Figure 5: Linear Model of the microprocessor (d) If any node voltage inside the processor rises above a threshold value Vmax, then the part of the processor connected directly to that node will be damaged. Given the possible values for I₁, I2 and 13, what is the maximum value for V that guarantees that no part of the processor will be damaged? That is, what is the maximum value of V required to guarantee that V₁, V2 and V3 never exceed Vmax ? Express your answer in terms of I, R₁, R₂ and R3, and Vmax-
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