2.33 A parallel plate capacitor is to be designed with a voltage rating 1 kV, using a material of dielectric constant 3 and dielectric strength about 107 Vm–1. (Dielectric strength is the maximum electric field a material can tolerate without breakdown, i.e., without starting to conduct electricity through partial ionisation.) For safety, we should
like the field never to exceed, say 10% of the dielectric strength. What minimum area of the plates is required to have a capacitance of 50 pF?
2.33 A parallel plate capacitor is to be designed with a voltage rating 1 kV, using a material of dielectric constant 3 and dielectric strength about 107 Vm–1. (Dielectric strength is the maximum electric field a material can tolerate without breakdown, i.e., without starting to conduct electricity through partial ionisation.) For safety, we should
like the field never to exceed, say 10% of the dielectric strength. What minimum area of the plates is required to have a capacitance of 50 pF?
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1 Answer
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2.33 Potential rating of the capacitor, V = 1 kV = 1000 V
Dielectric constant of a material, = 3
Dielectric strength = V/m
For safety, the field intensity should not cross 10% of the dielectric strength, hence
Electric field intensity, E = 10 % of = V/m
Capacitance of the parallel plate capacitor, C = 50 pF = 50 F
Distance between the plates, d is given by d = = m = m
Capacitance is given by the relation
C = , where = permittivity of free space = 8.854
50 =
A = 1.88 = 18.8
Hence, t
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