ooo Sprint LTE 2:18 PM 11%D+ ..oo rin University of Dayton Three very large para
ID: 581089 • Letter: O
Question
ooo Sprint LTE 2:18 PM 11%D+ ..oo rin University of Dayton Three very large parallel non-condacting planes Cinfinte planes) have surface charge desities of a,-, and-3a (a > 0). Planes are distance d an firm each other The-ofthe coordinatc system was set on the first planc as shown in the figure. Plancs are prpendiclar to z axis. Poiat A is 12 d away from the onigia while poim B and P awe 2dand4d awayom the onigin rospectively a) Use Gauss's law, find the electric field duc to a single infinine plane with a cos surface charge density b) Calculate electric fields due to theee planes all points A, B and P e) point charge Q locaad B.W at sthe F,d te ,et force exerted by three planes on force on a point charge localod a A? 2d d) A lab instructor accidenily added/suhtractod some chargss fromte fint planc (efitmest planc) Therefoee, we do not know the surface charge density of the frist planc. llowe, er, it is found that the electric field·poer B s zero. The surface charge daily of the third plane is measared to be-3 Cm2 Whan is the sarface charge demsity of the first plane?Explanation / Answer
a) field due to plate = charge density / 2epsilon
b) EA = 5sigma/(2epsilon) in +z
EB = 3sigma/(2epsilon) in +Z
EC = 3sigma/(2epsilon) in -z
c) FA = QEA
FB = QFB
d)
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