can someone please help me. An ultracapacitor is a very high-capacitance device

Question

can someone please help me.

An ultracapacitor is a very high-capacitance device capable of storing much more energy than an ordinary capacito It is designed so that the spacing of the plates is around 1000 times smaller than 100,000 n ordinary capacitors. Furthermore the plates con illions of microscopic nanotubes, which increase their effective are tim ain m es the plate separation and effective area of a 20 AF capacitor are changed as described above to make a ultracapacitor, hat is its new capacitance? 2000 (b) How much energy does the ultracapacitor store if charged to 1.5 V? Compare this to the energy in an ordinary 20 AuF capacitor at that potential. 2.25e-5 Uutracapacitor The energy stored by the ultracapacitor is equal to U CV where V 1.5 V. J 100 Uultracapacitor Ucapacitor The energy stored by the ultracapacitor is equal to U CV2, where V 1.5 V. c) Compare the energy stored in the ultracapacitor to that of the AAA battery, which contains 6750 J. Uultracapacitor. 25.98 battery The energy stored by the ultracapacitor is equal to U CV2, where V 1.5 V. (d) If the ultracapacitor is to take 1.0 to 1/e of its min to decrease initial maximum charge, what resistance must it discharge t ough? 2

Explanation / Answer

b)

Energy is 0.5 CV^2 = 0.5*2000*1.5^2 = 2250 J

U ultra / U capac = 2000/20*10^-6 = 10^8

c)

U cap/U battery = 2250/6750 = 0.33

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