A capacitor is constructed from two square metal plates. A dielectric k= 1.93 fi
ID: 2280329 • Letter: A
Question
A capacitor is constructed from two square metal plates. A dielectric k= 1.93 fills the upper half of the capacitor and a dielectric k= 7.9 fills the lower half of the capacitor. Neglect edge effects.
Calculate the capacitance C of the device. Answer in units of pF.
A capacitor is constructed from two square metal plates. A dielectric k= 1.93 fills the upper half of the capacitor and a dielectric k= 7.9 fills the lower half of the capacitor. Neglect edge effects. Calculate the capacitance C of the device. Answer in units of pF.Explanation / Answer
The capacitor may be treated as parallel combination of two capacitors of different dielectrics
Area of plate of each half capacitor = 0.16 * 0.32 m^2
Ceq = C1 || C2
= C1 + C2
=k1 Eo A1 /d1 + k2 Eo A1 / d1
= EoA/d (k1 + k2)
= [8.85 * 10^-12 * 0.16 * 0.32) / 0.55*10^-3 ] * (1.93 + 7.9)
=8.0985 * 10^-9 F
= 8098.5 pF
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