Example 26 2 explored a cylindrical capacitor of length and radii a and b of the two conductors In the What If Section, it was claimed that increasing by 10 is more effective in terms of increasing the capacitance than increasing a by 10 if b 2 85a Verify this claim mathematically ...

The condition that we are testing is that the capacitance inc ...

Example 26.2 explored a cylindrical capacitor of length and radii a and b of the two conductors.

Question:

Example 26.2 explored a cylindrical capacitor of length ℓ and radii a and b of the two conductors. In the What If? Section, it was claimed that increasing ℓ by 10% is more effective in terms of increasing the capacitance than increasing a by 10% if b > 2.85a. Verify this claim mathematically.