Following question is about finding the capacitance and resistance of two sheets

Question

Following question is about finding the capacitance and resistance of two sheets. of equal size.

The two sheets of equal size of 1*1 cm^2 are 2 micro-meter apart. Half of the space between the two planes (The surface is divided in half or side by side) Filled with dielectric of e(rl) = 10 and sigma1=2*10^-11 . The other half is filled with a dielectric e (r2) =30 and sigma2=5*10^-12. Find the capacitance and resistance of each half and the combined ones. Repeat the question if the thickness between the two sheets is divided in half and the surface is 1*1 cm^2 for both top and bottom sheets.

Explanation / Answer

a)

Since the capacitor are connected in parallel hence;

Ceq=C1+C2

where;

C1=(e(r1)*A*epsilon)/2d                 'd' is the distance betwwen the plates and 'A' is the area of the pates

C2=(e(r2)*A*epsilon)/2d  

so

Ceq=(A*epsilon)/2d) *(e(r1)+e(r2))=9.735nF

b)

Now capacitors are connected in series hencce;

Ceq=C1*C2/C1+C2=(e(r1)*e(r2)*(A*epsilon)/2d)) /(e(r1)+e(r2))=7.30125nF

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