Two square metal sheets each have side length 35.0 cm and are held apart with an

Question

Two square metal sheets each have side length 35.0 cm and are held apart with an air gap of 1.60mm to form a capacitor.
A. Find the capacitance for this geometry.
B. What is the charge on the capacitor when a potential difference if 14.0 v is applied to the plates?
C. How much energy is stored on the capacitor ? Two square metal sheets each have side length 35.0 cm and are held apart with an air gap of 1.60mm to form a capacitor.
A. Find the capacitance for this geometry.
B. What is the charge on the capacitor when a potential difference if 14.0 v is applied to the plates?
C. How much energy is stored on the capacitor ?
A. Find the capacitance for this geometry.
B. What is the charge on the capacitor when a potential difference if 14.0 v is applied to the plates?
C. How much energy is stored on the capacitor ?

Explanation / Answer

part A: apply Capaciatnce C = eo A/d

here

C = 8.85e-12 * 0.35 *0.35/(1.6 e-3)

C = 677.57 pF   or   6.77 *10^-10 F

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apply the formula of charge Q = CV

so

Q = 6.77 e-10 * 14

Q = 9.48 nC

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energy Stored across the terminals of Capacitor U = 0.5 CV^2

U = 0.5 * 6.77e-10 * 14*14

U = 6.63 *10^-8 Joules

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