a) Consider a constant linear charge distribution A on a stick of length 2L extending from x = -L to x = L on the x axis. What is the field at point r, = zpâ? What must be the (dimensionless) ratio zp/L so the field at , is 0.99 times the field of an infinite line at that point? b) Consider a constant surface distribution o on a square of sides 2L, with the center of the square at the origin and located in the xy plane. What is the field at point ĩ, = z,î? What must be the dimensionless ratio zp/L so the field at ī, is 0.99 times the field of an infinite sheet of charges at that point?

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a) Consider a constant linear charge distribution A on a stick of length 2L extending from x = -L to x = L on
the x axis. What is the field at point r, = Zpź? What must be the (dimensionless) ratio zp/L so the field at r
is 0.99 times the field of an infinite line at that point?
b) Consider a constant surface distribution o on a square of sides 2L, with the center of the square at the origin
and located in the xy plane. What is the field at point , = z„ż? What must be the dimensionless ratio zp/L
so the field at F, is 0.99 times the field of an infinite sheet of charges at that point?
Transcribed Image Text:a) Consider a constant linear charge distribution A on a stick of length 2L extending from x = -L to x = L on the x axis. What is the field at point r, = Zpź? What must be the (dimensionless) ratio zp/L so the field at r is 0.99 times the field of an infinite line at that point? b) Consider a constant surface distribution o on a square of sides 2L, with the center of the square at the origin and located in the xy plane. What is the field at point , = z„ż? What must be the dimensionless ratio zp/L so the field at F, is 0.99 times the field of an infinite sheet of charges at that point?
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