Consider the geometry shown in the figure below. The lengths of the plates in the x and z directions are ∞. The width of plate 1 in the y direction is L=2. The potential on plates 2 and 3 are 0. The potential on plate 1 is V. = sin²(7 y). (1) Use separation of variables to find the potential V(x, y). Keep up to 3rd terms. (2) Plot V(x = 0, y) as a function of y. (3) Plot V(x, y = 1) as a function of x. y L=2 V.(v) -Z Plate 1 0 V=0 V=0 Plate 2 Plate 3 X
Consider the geometry shown in the figure below. The lengths of the plates in the x and z directions are ∞. The width of plate 1 in the y direction is L=2. The potential on plates 2 and 3 are 0. The potential on plate 1 is V. = sin²(7 y). (1) Use separation of variables to find the potential V(x, y). Keep up to 3rd terms. (2) Plot V(x = 0, y) as a function of y. (3) Plot V(x, y = 1) as a function of x. y L=2 V.(v) -Z Plate 1 0 V=0 V=0 Plate 2 Plate 3 X
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Transcribed Image Text:Consider the geometry shown in the figure below. The lengths of the plates in the x and z
directions are ∞o. The width of plate 1 in the y direction is L=2. The potential on plates 2 and 3
are 0. The potential on plate 1 is V, = sin²
(1) Use separation of variables to find the potential V(x, y). Keep up to 3rd terms.
(2) Plot V(x = 0, y) as a function of y.
(3) Plot V(x, y = 1) as a function of x.
y
L=2
V.(y)
-Z
Plate 1
0
V=0
V=0
Plate 2
Plate 3
X
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