
The ratio of outer radius

Answer to Problem 6.1P
The ratio of outer radius
Explanation of Solution
Calculation:
The ratio of outer radius
If they store the same energy at a given applied voltage, then the capacitances of both structures are the same. So, the length of both structure are same and they contain the same dielectric, it means the relative permittivity of both structure are the same.
The capacitance of first structure is written as,
Here,
The capacitance of second structure is written as,
The capacitances of both structures are same, so equation (1) is equal to equation (2), therefore, expression is written as,
The simplified form of equation (3) is written as,
Conclusion:
Therefore, the ratio of outer radius
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Chapter 6 Solutions
Engineering Electromagnetics
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