A parallel plate capacitor of area 1.9 cm2 is filled with three dielectrics with

Question

A parallel plate capacitor of area 1.9 cm2 is filled with three dielectrics with constants ?1=3.5, ?2=1.8 and ?3=9. The dielectrics are placed as shown in the figure, each occupying half the total area, while the volume of the first double of the other two. If the separation distance between the plates is 3 mm.

A)What is the capacitance before including the dielectrics?

B)What is the capacitance after including the dielectrics?

C)If we connect the capacitor to a battery of 12V, What is the energy stored?

Explanation / Answer

a) C = k e A/d = 1*8.85e-12*1.9e-4/3e-3 = 5.605e-13 F b) C1 = k1 e A/d = 3.5*8.85e-12*1.9e-4/3e-3 = 19.6175e-13 F C2 = k2 e A/d = 1.8*8.85e-12*1.9e-4/3e-3 = 10.089e-13 F C3 = k3 e A/d = 9*8.85e-12*1.9e-4/3e-3 = 50.445e-13 F C = C1 + (1/C2 + 1/C3)^-1 = 28.0e-13 F c) U = 0.5 C V^2 = 0.5 * 28.0e-13 * 12*12 = 2.02e-10 J

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.