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Find the capacitance per unit length of two coaxial metal

Chapter 2, Problem 43P

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QUESTION:

Problem 43P

Find the capacitance per unit length of two coaxial metal cylindrical tubes, of radii a and b (Fig. 2.53).

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QUESTION:

Problem 43P

Find the capacitance per unit length of two coaxial metal cylindrical tubes, of radii a and b (Fig. 2.53).

ANSWER:

Step 1 of 2

We have to find the capacitance per unit length of two coaxial metal cylindrical tubes, of radii and

Let the charge on the inner cylinder be for a length .

The field due to this charge is given by Gauss’s law as

                 

                 

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