Find the resistance of an annular wedge of conducting material, assuming the current flow is radial as shown at right. The wedge spans an angle and has an inner radius a and outer radius b. The material has a conductivity thickness t, and perfect ohmic contacts can be assumed. Hint: there is only a radial and component of the current and hence only a radial component of the electrical field, J = J¸(r)î=0E¸(r)î, so the starting point is Laplace's equation 1 d V.J=0 ⇒ V²: =0 rər ӘФ Ər r. I + G b
Find the resistance of an annular wedge of conducting material, assuming the current flow is radial as shown at right. The wedge spans an angle and has an inner radius a and outer radius b. The material has a conductivity thickness t, and perfect ohmic contacts can be assumed. Hint: there is only a radial and component of the current and hence only a radial component of the electrical field, J = J¸(r)î=0E¸(r)î, so the starting point is Laplace's equation 1 d V.J=0 ⇒ V²: =0 rər ӘФ Ər r. I + G b
Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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![Find the resistance of an annular wedge of
conducting material, assuming the current flow
is radial as shown at right. The wedge spans an
angle and has an inner radius a and outer
radius b. The material has a conductivity
thickness t, and perfect ohmic contacts can be
assumed. Hint: there is only a radial
and
component of the current and hence only a radial component of the electrical field,
J = J¸(r)î=0E¸(r)ŵ, so the starting point is Laplace's equation
V.J=0 ⇒ V²:
=
12
rər
r
ӘФ
Ər
= 0
I
0
b](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F584ffa08-94ad-4eb4-a87d-fd258db9f802%2F777eb321-1dde-4680-b664-0318f26b49dd%2Fknwmdk_processed.png&w=3840&q=75)
Transcribed Image Text:Find the resistance of an annular wedge of
conducting material, assuming the current flow
is radial as shown at right. The wedge spans an
angle and has an inner radius a and outer
radius b. The material has a conductivity
thickness t, and perfect ohmic contacts can be
assumed. Hint: there is only a radial
and
component of the current and hence only a radial component of the electrical field,
J = J¸(r)î=0E¸(r)ŵ, so the starting point is Laplace's equation
V.J=0 ⇒ V²:
=
12
rər
r
ӘФ
Ər
= 0
I
0
b
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