3) A cylindrical section of conducting material forms a cylindrical wedge resistor as illustrated in Figure 3. The regions 9₁ = {(p₁, x₂) | asp≤ b, 0≤ø ≤ 4,0 ≤ x ≤ L} 0₂ [S/m], d₂ = {(p₁, x₂) | asp ≤ b, b, < 0 ≤ $₂,0 ≤ x ≤L} have fixed conductivities of o, [S/m] and respectively. The lower electrode at x3 = 0 is grounded while the upper one at x3 = L has fixed potential V. Neglecting fringing effects, determine the total resistance R. and
3) A cylindrical section of conducting material forms a cylindrical wedge resistor as illustrated in Figure 3. The regions 9₁ = {(p₁, x₂) | asp≤ b, 0≤ø ≤ 4,0 ≤ x ≤ L} 0₂ [S/m], d₂ = {(p₁, x₂) | asp ≤ b, b, < 0 ≤ $₂,0 ≤ x ≤L} have fixed conductivities of o, [S/m] and respectively. The lower electrode at x3 = 0 is grounded while the upper one at x3 = L has fixed potential V. Neglecting fringing effects, determine the total resistance R. and
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Question
![Ho
X₂
Top view
O
J = £3J₁
rent flowing
regions
3) A cylindrical section of conducting material forms a
cylindrical wedge resistor as illustrated in Figure 3. The
9₁ = {(p₁, x₂) | asp≤ b, 0≤ ≤ ₁,0 ≤ x₂ ≤ L}
d₂ = {(p₂p, x₂) | asp≤ b, p < 0≤ $₂,0 ≤ x ≤ L} have
fixed conductivities of o, [S/m] and
respectively. The lower electrode at x₂ = 0 is grounded
while the upper one at x₂ = L has fixed potential V
Neglecting fringing effects, determine the total resistance
0₂ [S/m],
R.
and
Vo.
L
X₁
x3
<= a
p=
6°
→X₂
Top view
Ф = Ф
p=a
Ф = Фz
02
6
p=b
$=$
→→x₁
0 = $₁
Figure 3: A cylindrical wedge resistor.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F859f5f55-f0d8-452c-8d39-5b958c455c4e%2F2b4f6644-8f7c-4d07-99a6-08a0bcf10d5d%2Fzw53v7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Ho
X₂
Top view
O
J = £3J₁
rent flowing
regions
3) A cylindrical section of conducting material forms a
cylindrical wedge resistor as illustrated in Figure 3. The
9₁ = {(p₁, x₂) | asp≤ b, 0≤ ≤ ₁,0 ≤ x₂ ≤ L}
d₂ = {(p₂p, x₂) | asp≤ b, p < 0≤ $₂,0 ≤ x ≤ L} have
fixed conductivities of o, [S/m] and
respectively. The lower electrode at x₂ = 0 is grounded
while the upper one at x₂ = L has fixed potential V
Neglecting fringing effects, determine the total resistance
0₂ [S/m],
R.
and
Vo.
L
X₁
x3
<= a
p=
6°
→X₂
Top view
Ф = Ф
p=a
Ф = Фz
02
6
p=b
$=$
→→x₁
0 = $₁
Figure 3: A cylindrical wedge resistor.
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