Please help me with the following question. Make sure to explain how you got eac

Question

Please help me with the following question. Make sure to explain how you got each step so that I can learn. Please answer ALL PARTS of the question completely and correctly. Thanks in advance!

A parallel plate capacitor is filled with neoprene rubber (dielectric strength K= 6.7) and has a capacitance of 100 pF. strength = 12 × 106 V/m. 12 x 1 (a) If the plate (b) What is the maximum operating voltage of the capacitor? (c) What is the maximum energy that can be stored on the capacitor? (d) If we h separation of the capacitor is 100 um, what is the surface area of the plates? ad a capacitor of the same dimensions with air between the plates (dielectric strength= 3×106 V/m,K=1), what would be the maximum operating voltage?

Explanation / Answer

E =12*10^6 V/m , k =6.7 , C =100 pF, d = 100 um

(a) C = Akeo/d

100*10^-12 = A*6.7*8.85*10^-12/(100*10^-6)

A = 1.687 cm^2

(b) V = Ed

V = 12*10^6*100*10^-6 = 1200 V

(C) U = (1/2)CV^2

U =0.5*100*10^-12*(1200)^2

U = 7.2*10^-5 J

(d) E =3*1^6 V/m , k =1

V = 3*10^6*100*10^-6

V = 300 V

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