A very large non-conducting plane carrying charge Q uniformly distributed over it is placed in a medium with resistively rho and permittivity epsilon. The plane leaks charge through the surrounding medium and the charge becomes 1/n times the initial value after a time t=6rho epsilon ln(2) elapses. Find the integer value n. (Neglect the end effects).

A very large non-conducting plane carrying charge Q uniformly distribu

1.	A very large non-conducting plane carrying charge Q uniformly distributed over it is placed in a medium with resistively rho and permittivity epsilon. The plane leaks charge through the surrounding medium and the charge becomes 1/n times the initial value after a time t=6rho epsilon ln(2) elapses. Find the integer value n. (Neglect the end effects).
Answer» Solution :`J-1/(rho) E=(sigma)/(2rho EPSILON)` `I=jA=Q/(2rho epsilon)IMPLIES(DQ)/(dt)=-q/(2rho epsilon)` ltbRgt `impliesq=Qd^(-(t/(2rho epsilon)))` or `q=Q/8` at `t=5 rho epsilon ln(2)`

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