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(1) Solve and plot the electrostatic potential, assuming 1D, for the following conditions: x = 0 x = 1 $(x=0) = 0 V $(x=1) = 10 V p = 10°* (1- x) C/m? charge density as a function of x potential at x = 0 potential at x = 1 assume relative permittivity ɛ, = 1

(1) Solve and plot the electrostatic potential, assuming 1D, for the following conditions: x = 0 x = 1 $(x=0) = 0 V $(x=1) = 10 V p = 10°* (1- x) C/m? charge density as a function of x potential at x = 0 potential at x = 1 assume relative permittivity ɛ, = 1

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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(1) Solve and plot the electrostatic potential, assuming 1D, for the following conditions: x = 0 x = 1 $(x=0) = 0 V $(x=1) = 10 V p = 10° * (1- x) C/m3 charge density as a function of x potential at x = 0 potential at x = 1 assume relative permittivity ɛ, = 1 (2) How many particles are in the Debye sphere of a plasma of with an electron density of 105 m³and an electron temperature of 10 ev (remember 1 eV ~ 11600 K). (3) Take the collision rate, t for electron neutral collisions to be 1/102 Hz. Plot the function of wo(ne)*t (Wp the plasma frequency for electrons) for 1010 m3 < ne < 103 m³and indicate the regions of electron density that meet the criteria for a plasma. (4) Given E = E, x and B = -Bo y where E, = 100 V/m and B, = 1 mT, find the direction and drift for an electron and ion. (bold indicates unit vectors)
Transcribed Image Text:(1) Solve and plot the electrostatic potential, assuming 1D, for the following conditions: x = 0 x = 1 $(x=0) = 0 V $(x=1) = 10 V p = 10° * (1- x) C/m3 charge density as a function of x potential at x = 0 potential at x = 1 assume relative permittivity ɛ, = 1 (2) How many particles are in the Debye sphere of a plasma of with an electron density of 105 m³and an electron temperature of 10 ev (remember 1 eV ~ 11600 K). (3) Take the collision rate, t for electron neutral collisions to be 1/102 Hz. Plot the function of wo(ne)*t (Wp the plasma frequency for electrons) for 1010 m3 < ne < 103 m³and indicate the regions of electron density that meet the criteria for a plasma. (4) Given E = E, x and B = -Bo y where E, = 100 V/m and B, = 1 mT, find the direction and drift for an electron and ion. (bold indicates unit vectors)
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