Do all three parts (1, 3) A total positive charge of q-30uCis distributed unifor

Question

Do all three parts (1, 3) A total positive charge of q-30uCis distributed uniformly on a parallel plate capacitor, The capacitance is 2 ?F and the space between the plates is vacuum ?.-9.0 X 10-12 C2/N-m2 1) Calculate the energy stored in the capacitor Equation Used Solution Answer 2) Calculate the potential difference between the plates Equation Used Answer Solution If the distance between the plates d-2cm, calculate the energy density (HINT Calculate E first and then use the energy density formula) ?) Equation Used Answer Solution

Explanation / Answer

here,

1.3)

q = 30 uC

q = 30 * 10^-6 C

capacitance , C = 2 uF = 2 * 10^-6 F

1)

the energy stored in capacitaor , E = 0.5 * Q^2 / C

E = 0.5 * (30 * 10^-6)^2 /(2 * 10^-6) J

E = 2.25 * 10^-4 J

2)

the potential difference , V = q/C

V = 30 * 10^-6 /( 2 * 10^-6) V

V = 15 V

3)

d = 2 cm = 0.02 m

the electric feild , E = V/d

E = 15 /0.02 = 750 N/C

the energy density , U = 0.5 * e0 * E^2

U = 0.5 * 8.85 * 10^-12 * 750^2 J

U = 2.49 * 10^-6 J/m^3

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