A certain substance has a dielectric constant of 3.8 and a dielectric strength of 25 MV/m. If it is used as the dielectric material in a parallel-plate capacitor, what minimum area should the plates of the capacitor have to obtain a capacitance of 5.3 × 10-2 µ F and to ensure that the capacitor will be able to withstand a potential difference of 3.1 kV?

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A certain substance has a dielectric constant of 3.8 and a dielectric strength of 25 MV/m. If it is used as the dielectric material in a parallel-plate capacitor, what minimum area should the plates of the capacitor have to obtain a capacitance of 5.3 × 10-2 µ F and to ensure that the capacitor will be able to withstand a potential difference of 3.1 kV?

Expert Solution
Step 1

 Given:-

 The dielectric constant k = 3.8. 

The dielectric strength of the substance is 25 MV/m. 

if it is used as the dielectric material in a parallel plate capacitor. 

The capacitance of the plate is C=5.3×10-2μF

The capacitor will be able to withstand a potential difference of 3.1 kV.

Find:-

What minimum area should the plates of the capacitor have to obtain a capacitance?

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