Two square metal sheets each have a side length 25.0cm, and are held apart with
ID: 1322254 • Letter: T
Question
Two square metal sheets each have a side length 25.0cm, and are held apart with an air gap of 1.20mm to form a capacitor. A. Find the capacitance for this geometry. B. what is the charge on the capacitor when a potential difference of 15.0 v is applied to the plates C. How much energy is stored on the capacitor?Two square metal sheets each have a side length 25.0cm, and are held apart with an air gap of 1.20mm to form a capacitor. A. Find the capacitance for this geometry. B. what is the charge on the capacitor when a potential difference of 15.0 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 of 15.0 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 * 0.25 *0.25/(1.2 e-3)
C = 461 pF or 4.61 *10^-10 F
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apply the formula of charge Q = CV
so
Q = 4.61 e-10 * 15
Q = 6.91 nC
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energy Stored across the terminals of Capacitor U = 0.5 CV^2
U = 0.5 * 4.61 e-10 * 15*15
U = 5.186 *10^-8 Joules
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