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We use two circular metal plates of radius 0.67 m and thickness 6.3 mm to build

ID: 1284055 • Letter: W

Question

We use two circular metal plates of radius 0.67 m and thickness 6.3 mm to build a capacitor. We leave a gap of 1.5 mm between the plates and fill half of the space between the plates with a medium with dielectric constant 5.3 and leave the other half filled with air. What is the capacitance of this capacitor?

We use two circular metal plates of radius 0.67 m and thickness 6.3 mm to build a capacitor. We leave a gap of 1.5 mm between the plates and fill half of the space between the plates with a medium with dielectric constant 5.3 and leave the other half filled with air. What is the capacitance of this capacitor?

Explanation / Answer

so this is like two capacitors in parallel one with dielectric one without each with half the area

C = C1 + C2 = e0 (A/2)/d + k e0 (A/2)/d = 8.85E-12*(pi*0.67^2)/2*(1+5.3)/1.5E-3=2.62E-8 F

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