A cylindrical capacitor is filled with two cyclindrical layers of dielectric with permittivity `espilon_(1)` and `espilon_(2)`. The inside radii of the layers are equal to `R_(1)` and `R_(2) gt R_(1)`. The maximum permissible values of electric field strength reaching teh breakdown value for both dielectrics simulttaneously ?

Explanation

Let `lambda` be the linear charge density then,
`E_(1m) = (lambda)/(2pi epsilon_(0) R_(1) epsilon_(1))` ….(1)
and `E_(2m) = (lambda)/(2pi epsilon_(0) R_(2) epsilon_(2))` ….(2)
The breakdown in either case will occur at the smaller value of `r` for a simulataneous breakdown of both dielectrics.
From (1) and (2) ltbr. `E_(1m) R_(1) epsilon_(1) = E_(2m) R_(2) epsilon_(2)`, which is the sougth relationship.