and 0 The radius of the inner conductor of a long coaxial cable is a. The inner radius of the outer conductor is b. If the inner and outer conductors are kept at potentials respectively, determine the electric potential and the electric field intensity in the insulating material by solving Laplace's equation.

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EXERCISE 3.19
The radius of the inner conductor of a long coaxial cable is 2. The inner radius of the
outer conductor is b. If the inner and outer conductors are kept at potentials, and 0
respectively, determine the electric potential and the electric field intensity in the
insulating material by solving Laplace's equation.
ANS. Inby Intbau E-Inai
If the problem is such that electric potential changes only in the
circumferential direction and not in r- and 2-directions. Eq. (3-136 reduces to
3-11 SOLUTION OF ELECTROSTATIC BOUNDARY-VALUE PROBLEMS 133
16²
-0
We illustrate this case with the following example.
(3-139)
Transcribed Image Text:EXERCISE 3.19 The radius of the inner conductor of a long coaxial cable is 2. The inner radius of the outer conductor is b. If the inner and outer conductors are kept at potentials, and 0 respectively, determine the electric potential and the electric field intensity in the insulating material by solving Laplace's equation. ANS. Inby Intbau E-Inai If the problem is such that electric potential changes only in the circumferential direction and not in r- and 2-directions. Eq. (3-136 reduces to 3-11 SOLUTION OF ELECTROSTATIC BOUNDARY-VALUE PROBLEMS 133 16² -0 We illustrate this case with the following example. (3-139)
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