What is the charge per unit a +1C What is the capacitance of the two parallel pl

Question

What is the charge per unit a +1C What is the capacitance of the two parallel plates shown below with area 0.01 m2 and separated by a distance of 0.02 mm? a. rea (o) on 0.01 m2 if it has a total charge of b. c. What is the electric field between the two plates? Will the capacitance change if the capacitor above falls into a beaker of oil and the space between the plates is filled with oil (the relative permittivity of oil is 52- that is the permittivity of oil ise 520)? d. e. What is the capacitance of the plates when filled with oil? What is the worked needed to take a positive charge off of the negative plate and move it to the positive plate (the plates are still charged up at 1C (as stated in b) when the space between the plates is filled with oil? f.

Explanation / Answer

a)

Charge per unit area is given by

Q/A =1/0.01 =100 C/m2

b)

Capacitance is given by

C=eoA /d =(8.8542*10-12)(0.01)/(0.02*10-3)

C=4.427*10-9 F

c)

V=Q/C =1/(4.427*10-9) =2.26*108 Volts

Electric field

E=V/d =2.26*108/(0.02*10-3)

E=1.13*1013 V/m

d)

Yes

e)

CK=KC =52*4.427*10-9=2.302*10-7 F

f)

W=(1/2)CKV2-(1/2)CV2 =(1/2)(2.26*108)2(2.302*10-7-4.427*10-9)

W=5.76*109 Joules

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