A parallel-plate capacitor has square plates that have edge lengths equal to 1.0

Question

A parallel-plate capacitor has square plates that have edge lengths equal to 1.00×1022 cm and are separated by 1.65 mm. It is connected to a battery and charged to 12.0 V.

Problem 43 A parallel-plate capacitor has square plates that have edge lengths equal to 1.00×10 cm and are separated by 1.65 mm. It is connected to a battery and charged to 12.0 V. 1) How much energy would be stored in the capacitor if a ceramic dielectric material (x is 5.8) fills the space between the plates? (Express your answer to two significant figures.) uJ Submit

Explanation / Answer

C = kA/d

Square of length 100cm = 1m

C = 5.8 * (1*1) *8.85*10-12/(1.65*10-3) = 3.11*10-8 F

Energy stored = (1/2) CV2 = (1/2) * 3.11*10-8 *(12)2 = 2.24*10-6 J = 2.24 J

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