The current density at the surface of a thick metal plate is 100 $$\frac{A}{m^{2}}$$ What is the skin depth if the current density at a depth of 0.0059 cm is 0.272 $$\frac{A}{m^{2}}$$?

A

8 $$\mu m$$

B

10 $$\mu m$$

C

15 $$\mu m$$

D

20 $$\mu m$$