$[$Mod $5]$ A rectangular material with height $H,$ length $L,$ and width $W$ is connected to a voltage source V across the length L$.$ Initially there is a current $10$ and current density J $.$ If the height, width, and applied voltage are each doubled, but the length remains the same, what will be the new current I and current density J$?$

$.I=8I_0,J=4J_0$

b$.I=4I_0,J=2J_0$

c$.I=8I_0,J=2J_0$

d$.I=4I_0,J=4J_0$

e$.I=\frac{I_0}{8},J=\frac{J_0}{2}$