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Capacitance of a Random Conductor

a parallel pl...

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a parallel plate capacitor is to be designed with a voltage rating 1 kV using a material of dielectric constant 10 and dielectric strength 10^6 V/m.what minimum area of the plates is required to have a capacitance of 88.5 pF

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Q. A parallel plate capacitor is to be designed with a voltage rating

1 k V

using a material of dielectric constant

10

and dielectric strength

10^{6} V m^{- 1}

. What minimum area of the plates is required to have a capacitoance of

88.5 p F

?

Q. 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

10^{7} V m^{- 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 ?

Q. A parallel plate capacitor is to be designed with a voltage rating1 kV, using a material of dielectric constant 3 and dielectric strengthabout 107 Vm–1. (Dielectric strength is the maximum electric field amaterial can tolerate without breakdown, i.e., without starting toconduct electricity through partial ionisation.) For safety, we shouldlike the field never to exceed, say 10% of the dielectric strength.What minimum area of the plates is required to have a capacitanceof 50 pF?

Q. A parallel plate capacitor of area

A

, plate separation

d

and capacitance

C

is filled with three different dielectric materials having dielectric constant

k_{1}, k_{2}

k_{3}

as shown. If a single dielectric material is to be used to have the same capacitance

C

in this capacitor, then its dielectric constant

k

Q. A parallel-plate capacitor of area

A

, plate separation 𝑑, and capacitance

C

is filled with four dielectric material having dielectric constants

k_{1}, k_{2}, k_{3}

k_{4}

as shown in the figure. If a single dielectric material is to be used to have the same capacitance

C

in this capacitor, then its dielectric constant

k

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