Calculate Dielectric Thickness for 100pF Capacitor

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SUMMARY

The discussion focuses on calculating the dielectric thickness required for a 100pF capacitor formed by two parallel plates with a relative permittivity (er) of 12 and dimensions of 5mm x 10mm. The correct formula to use is d = ε₀ x εᵣ x A / C, where ε₀ is the permittivity of free space (8.85 x 10^-12 F/m), εᵣ is the relative permittivity, A is the area of the plates, and C is the capacitance. The final calculation yields a dielectric thickness of approximately 0.0513mm.

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1.
A capacitor is formed by 2 parallel plates separated by a dielectric of relative permattivity er = 12, the capacitor plates are 5mm x 10mm. Calculate the thickness of the dielectric required to create a capacitor of 100pF




2. C = eA / d therefore d=eA/C, we have C 100 x 10-9, area of pates 5x10-3 x 10x10-3 = 50x10-3mm2 (0.05m2



3. C = eA / D = 12 x 0.05 / 100 x 10-9
= 6000000
This is a massive figure so I am guessing incorrect any pointers
 
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Kev1n said:
1.
A capacitor is formed by 2 parallel plates separated by a dielectric of relative permattivity er = 12, the capacitor plates are 5mm x 10mm. Calculate the thickness of the dielectric required to create a capacitor of 100pF




2. C = eA / d therefore d=eA/C, we have C 100 x 10-9, area of pates 5x10-3 x 10x10-3 = 50x10-3mm2 (0.05m2



3. C = eA / D = 12 x 0.05 / 100 x 10-9
= 6000000
This is a massive figure so I am guessing incorrect any pointers


Should I have used d = Eo x Er x A / C

12 x 8.85x10-12 x 50 x 10-3 / 100 x 10-9 = 5.31x10-5 = 0.0513mm
 

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