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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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Potential rating of a parallel plate capacitor, V = 1 kV = 1000 V Dielectric constant of a material, =3 Dielectric strength = 107 V/m For safety, the field intensity never exceeds 10% of the dielectric strength. Hence, electric field intensity, E = 10% of 107 = 106 V/m Capacitance of the parallel plate...
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Potential rating of a parallel plate capacitor, V = 1 kV = 1000 V Dielectric constant of a material, =3 Dielectric strength = 107 V/m For safety, the field intensity never exceeds 10% of the dielectric strength. Hence, electric field intensity, E = 10% of 107 = 106 V/m Capacitance of the parallel plate capacitor, C = 50 pF = 50 × 10−12 F Distance between the plates is given by, Where, A = Area of each plate = Permittivity of free space = Hence, the area of each plate is about 19 cm2. read less
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