2.E Part E The space between the plates is filled with a dielectric which has a
ID: 1536003 • Letter: 2
Question
2.E
Part E
The space between the plates is filled with a dielectric which has a dielectric constant of 20, and the new capacitor is charged up to the same voltage as before. How much energy is stored in the capacitor now?
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Energy = nJ C che P5-4 Fropar C secure l https master inqphysicscom entProblemID 74171744 PHYS1052 General Physics II PS-S Pre Part A PS-5-Prep SS2013 niticant fl Co Energ My Answers Part C If you plave -3 peC thang the origin, whet is lhe x-uompunerul vi the iu ve on i ium other ihree charges? My Answer -3 that Rin, what the y component vi th he other th n thing of 4 next 0+HC ced on %3D +%2302.Explanation / Answer
capacitance=epsilon*A/d
where epsilon=electrical permitivity of free space=8.85*10^(-12)
A=area=0.18*0.18=0.0324 m^2
d=distance between plates=1 mm=0.001 m
then capacitance=C=8.85*10^(-12)*0.0324/0.001=2.8674*10^(-10) F
part A:
electric field=voltage/distance
=35/0.001=35000 N/C
part B:
charge on each plate=capacitance*voltage
=2.8674*10^(-10)*35=1.0036*10^(-8) C
part C:
capacitance is 2.8674*10^(-10) F=2.8674*10^(-6) uF
part D:
energy stored=0.5*capacitance*voltage^2
=0.5*2.8674*10^(-10)*35^2=1.7563*10^(-7) J
=175.63 nJ
part E:
new capacitance=dielectric constant*old capacitance
then energy is stored=0.5*new capacitance*voltage^2
=0.5*20*old capacitance*voltage^2
=20*175.63 nJ
=3512.6 nJ
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