Please solve all Two parallel plates, each having area A- 3178cm a connected to

Question

Please solve all

Two parallel plates, each having area A- 3178cm a connected to the terminals of a battery of voltage Vb-6 V as shown. The plates are separated by a distance d- 0.5cm. You may assume (contrary to the drawing) that the separation between the plates is small compared to a linear dimension of the plate. 1 What is C, the capacitance of this parallel plate capacitor? Submit You currently have 5 submissions for this question. Only 15 submission are allowed. You can make 10 more submissions for this question 2) What is Q, the charge stored on the top plate of the this capacitor?. Submit 3) A dielectric having dielectric constant K 3.5 is now inserted in between the plates of the capacitor as shown. The dielectric has area A 3178 cm and thickness equal to half of the separation 0.25 cm). What is the charge on the top plate of this capacitor d/2 Submit 4) What is U, the energy stored in this capacitor? Submit 5) The battery is now disconnected from the capacitor and then the dielectric is withdrawn. What is V, the voltage across the capacitor Submit

Explanation / Answer

A)

Capacitance, C = A e0/d

C = (8.85 x 10^-12 x 3178 x 10^-4)/(0.005) = 5.63 x 10^-10

C = 0.000563 uF

B)

Charge, Q = CV = (0.000563 x 6) = 0.00337 uC

C)

C' = (3.5)(8.85 x 10^-12)(3178 x 10^-4)/0.0025 = 0.0039 uF

C" = (8.85 x 10^-12)(3178 x 10^-4)/0.0025 = 0.00113 uF

Equivalent capacitance C = (C' x C") /(C' + C") = 0.000875 uF

Charge, Q = CV = 0.00525 uC

4)

U = 0.5 (0.00086 x 10^-6) x 6^2 = 1.55 x 10^-8 J

5)

V = (0.00525 x 10^-6)/(5.63 x 10^-10) = 9.33 V

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