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only do number 12 its based on number 9 and 10 please show all work 9 Calculate

ID: 3164058 • Letter: O

Question

only do number 12 its based on number 9 and 10 please show all work

9 Calculate the of an capacitor with dimensions 10cm x 00 cm 0.5 mm thi ed parallel plate ck. 10. For the capacitor in the previous problem, given a total charge of 100 arc, calculate each of the following: a) t he surface charge density, the electrie neld in the region between the plates, c) the electric potential MIDWAY between the two plates. 00 12. Given the capacitor and conditions listed in problems #9 and #10, calculate a)the amount of potential energy stored in the capaci and b) the energy density in the region between the 2 plates.

Explanation / Answer

12)

for the capacitor ,

C = 1.77 *10^-9 F

Q = 100 uC

a) amount of energy stored = 0.50 * Q^2/C

amount of energy stored = 0.50 * (100 *10^-6)^2/(1.77 *10^-9)

amount of energy stored = 2.82 J

b)

energy density = total energy/volume

energy density = 2.82/(0.10 * 1.00 * 0.0005)

energy density = 56400 J/m^3

the energy density is 56400 J/m^3