25. For the infinite slot with walls at x = 0, y = 0 and y = a, assume that the plates at y = 0 and y = a are grounded, V = 0 and the plate at x = 0 has a potential given by V[0, y] = (a) Determine the potential within the infinite slot. y(a-y). a² (b) Plot the potential found in (a) and show that the series converges much faster than the one obtained for a constant potential at x = 0. Note: if you cannot do a 3D plot, then plot the value of the potential as a function of y for fixed values of x such as {0, 0.5, 1...). (b) Determine the charge density on the surface at x = 0.
25. For the infinite slot with walls at x = 0, y = 0 and y = a, assume that the plates at y = 0 and y = a are grounded, V = 0 and the plate at x = 0 has a potential given by V[0, y] = (a) Determine the potential within the infinite slot. y(a-y). a² (b) Plot the potential found in (a) and show that the series converges much faster than the one obtained for a constant potential at x = 0. Note: if you cannot do a 3D plot, then plot the value of the potential as a function of y for fixed values of x such as {0, 0.5, 1...). (b) Determine the charge density on the surface at x = 0.
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
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![25. For the infinite slot with walls at x = 0, y = 0 and y = a, assume that the plates at y = 0 and y = a are grounded,
V = 0 and the plate at x = 0 has a potential given by V[0, y] =
(a) Determine the potential within the infinite slot.
y(a-y).
a²
(b) Plot the potential found in (a) and show that the series converges much faster than the one obtained for a
constant potential at x = 0. Note: if you cannot do a 3D plot, then plot the value of the potential as a function of y for
fixed values of x such as {0, 0.5, 1...).
(b) Determine the charge density on the surface at x = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff49dbc17-17fe-48ac-82ce-5f6904a04037%2Fa3ccd430-d8d7-465f-96ba-9b5651fcb258%2F3q7gdyc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:25. For the infinite slot with walls at x = 0, y = 0 and y = a, assume that the plates at y = 0 and y = a are grounded,
V = 0 and the plate at x = 0 has a potential given by V[0, y] =
(a) Determine the potential within the infinite slot.
y(a-y).
a²
(b) Plot the potential found in (a) and show that the series converges much faster than the one obtained for a
constant potential at x = 0. Note: if you cannot do a 3D plot, then plot the value of the potential as a function of y for
fixed values of x such as {0, 0.5, 1...).
(b) Determine the charge density on the surface at x = 0.
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