For the cylindrical capacitor of Problem 1 6c, evaluate the variational upper bound of Problem 1 17b with the naive trial function, 1() (b ) (b a) Compare the variational result with the exact result for b a 1 5, 2, 3 Explain the trend of your results in terms of the functional form of An improved ...

The departure form the exact value increases as ba ...

For the cylindrical capacitor of Problem 1.6c, evaluate the variational upper bound of Problem 1.17b with the

Question:

For the cylindrical capacitor of Problem 1.6c, evaluate the variational upper bound of Problem 1.17b with the naive trial function, ψ1(ρ) = (b – ρ)/(b – a). Compare the variational result with the exact result for b/a = 1.5, 2, 3. Explain the trend of your results in terms of the functional form of Ф. An improved trial function is treated by Collin.