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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 ? |
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Answer» 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. |
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