The figure below shows a very large nonconducting sheet that has a uniform surface charge density of σ = −2.0 μC/m2; it also shows a particle of charge Q = 7.40 μC, at distance d from the sheet. Both are fixed in place. If d = 0.205 m, at what positive and negative coordinate on the x-axis (other than infinity) is the net electric field net of the sheet and particle zero?
(a) positive coordinate
x =___________m
(b) negative coordinate
x =_____________m
(c) If d = 0.920 m, at what coordinate on the x axis is net = 0?
x = ______________m
(please show the units so that I can follow along easier)
The formula for the electric field due to a non-conducting charged sheet is:
The electric field intensity due to an electric charge is:
Since the electric field is zero. The magnitude of the electric field due to charge and the field due to sheet will be equal. Mathematically,
Substitute the known values and solve.
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