a.) A cylinder of radius a = 7.7 cm and height h = 10.4 cm is aligned with its a
ID: 1573599 • Letter: A
Question
a.) A cylinder of radius a = 7.7 cm and height h = 10.4 cm is aligned with its axis along the y-axis as shown. What is the total flux that passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder. 1 = -4.2 C/cm
c.) What is the total flux that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.
e.) What is the total flux that now passes through the cylindrical surface? Enter a positive number if the net flux leaves the cylinder and a negative number if the net flux enters the cylnder.
Explanation / Answer
3)
a) Net charge elcosed by the cyllider, Qin = lamda1*h
= -4.2*10^-6*0.104
= -4.368*10^-7 C
Net elctric flux = Qin/epsilon
= -4.368*10^-7/(8.854*10^-12)
= -4.93*10^4 N.m^2/C
b)
E_xp = lamda1/(2*pi*epsilon*a) + lamda2/(2*pi*epsilon*a/2)
= -4.2*10^-6/(2*pi*8.854*10^-12*0.077) + 12.6*10^-6/(pi*8.854*10^-12*0.077)
= 4.90*10^6 N/C
c) Net charge elcosed by the cyllider, Qin = (lamda1 + lamda2)*h
= (-4.2*10^-6 + 12.6*10^-6)*0.104
= 8.736*10^-7 C
Net elctric flux = Qin/epsilon
= 8.736*10^-7/(8.854*10^-12)
= 9.87*10^4 N.m^2/C
d) E_xp = lamda1/(2*pi*epsilon*1.5*a) + lamda2/(2*pi*epsilon*a/2)
= -4.2*10^-6/(2*pi*8.854*10^-12*1.5*0.077) + 12.6*10^-6/(pi*8.854*10^-12*0.077)
= 5.23*10^6 N/C
e) Net charge elcosed by the cyllider, Qin = (lamda1 + lamda2)*h
= (-4.2*10^-6 + 12.6*10^-6)*0.104
= 8.736*10^-7 C
Net elctric flux = Qin/epsilon
= 8.736*10^-7/(8.854*10^-12)
= 9.87*10^4 N.m^2/C
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