fouadalnoor Member May 12, 2011 #1 Hello guys, I am studying for my physics exam and got stuck at this past paper question on gauss's law (attached). I am probably wrong, but would the solution to i) be: C = Q/V V = E*D Since ∫E*dA = Q/εo Then: EA = Q/εo, thus E = Q/(Aεo) , where A = 4Πr^2 Now V = QD/(4Πr^2) D = b-a thus: C = (4Πr^2εo)/(b-a) ii) As b tends to infinity C = 0 F? Hope you guys can help! Attachments Untitled.png 36.9 KB · Views: 353 Last edited: May 12, 2011
Hello guys, I am studying for my physics exam and got stuck at this past paper question on gauss's law (attached). I am probably wrong, but would the solution to i) be: C = Q/V V = E*D Since ∫E*dA = Q/εo Then: EA = Q/εo, thus E = Q/(Aεo) , where A = 4Πr^2 Now V = QD/(4Πr^2) D = b-a thus: C = (4Πr^2εo)/(b-a) ii) As b tends to infinity C = 0 F? Hope you guys can help!
R Ratchit Well-Known Member May 12, 2011 #2 fouadalnoor, Hello guys, I am studying for my physics exam and got stuck at this past paper question on gauss's law (attached). I am probably wrong, but would the solution to i) be: C = Q/V V = E*D Since ∫E*dA = Q/εo Then: EA = Q/εo, thus E = Q/(Aεo) , where A = 4Πr^2 Now V = QD/(4Πr^2) D = b-a thus: C = (4Πr^2εo)/(b-a) ii) As b tends to infinity C = 0 F? Click to expand... No. Hope you guys can help! Click to expand... Yes, I can. See the attachment. Ratch Whoops, there should be a minus sign in front of the integral Attachments Spherical Capacitor.pdf 40.2 KB · Views: 364 Last edited: May 12, 2011
fouadalnoor, Hello guys, I am studying for my physics exam and got stuck at this past paper question on gauss's law (attached). I am probably wrong, but would the solution to i) be: C = Q/V V = E*D Since ∫E*dA = Q/εo Then: EA = Q/εo, thus E = Q/(Aεo) , where A = 4Πr^2 Now V = QD/(4Πr^2) D = b-a thus: C = (4Πr^2εo)/(b-a) ii) As b tends to infinity C = 0 F? Click to expand... No. Hope you guys can help! Click to expand... Yes, I can. See the attachment. Ratch Whoops, there should be a minus sign in front of the integral