An expression for critical dimension X ∗ for nucleation should be determined. Concept introduction: The pheneomenon to form new structure or new thermodynamic phase, is known as Nucleation process. The self-assembly or self-organization plays a vital role in this formation. The process in which the oberevr has to wait tiil the appearance of new phase or self-organized structure, is defined as Nucleation. This nucleation process is sensitive to the presnt impurities of the system.

Question

8.15 An origin-destination pair is connected by a route with a performance function t₁ = 8+ x1, and another with a function t₂ = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin-destination flow is 4000 veh/h, determine user-equilibrium and system-optimal route travel times, total travel time (in vehicle minutes), and route flows.

Answer 1

Question

Chapter 9, Problem 9.15P

Interpretation Introduction

Interpretation:

An expression for critical dimension X∗ for nucleation should be determined.

Concept introduction:

The pheneomenon to form new structure or new thermodynamic phase, is known as Nucleation process. The self-assembly or self-organization plays a vital role in this formation.

The process in which the oberevr has to wait tiil the appearance of new phase or self-organized structure, is defined as Nucleation. This nucleation process is sensitive to the presnt impurities of the system.

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8.15 An origin-destination pair is connected by a route with a performance function t₁ = 8+ x1, and another with a function t₂ = 1 + 2x2 (with x's in thousands of vehicles per hour and t's in minutes). If the total origin-destination flow is 4000 veh/h, determine user-equilibrium and system-optimal route travel times, total travel time (in vehicle minutes), and route flows.

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Consider the following transformer circuit assuming an ideal transformer. In this circuit the signal generator will provide a 10-Volt peak-to-peak sinusoidal signal at a frequency of 1.0 kHz. Assume that L₁ = 0.65 H, L2 = 0.00492 H (=4.92 mH) and that the coupling constant = 0.99925. + VG1( R1 1k N1:N2 11.5:1 12 V1 N1 N2 V2 R2 8.2 1) Find the following using the theory presented in the prelab reading: a) Start with Equations (2) of the prelab reading and show that the input impedance to an ideal transformer is given by the equation for Z1 (=V1/11) in Equations (4) of the prelab reading. Equations (2) are: V₁ = joLI₁ + jœMI₂ and V₂ = j@MI₁ +j@L₂I₂ The equation for the input impedance is: Z₁ = 1½ = jwL₁ + (WM)² jwL₂+ZL b) Assuming that Z is a real impedance, find the equations for the real and imaginary parts of Z1. c) Use your equations from part (b) to calculate the value of the input impedance (Z) at an operating frequency of 200 Hz. Assume that the load impedance is 8.2 Ohms…