Consider an infinitely long wire of charge carrying a positive charge density of . The electric field due to 2 this line

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Consider An Infinitely Long Wire Of Charge Carrying A Positive Charge Density Of The Electric Field Due To 2 This Line 1 (59.55 KiB) Viewed 18 times

Consider an infinitely long wire of charge carrying a positive charge density of . The electric field due to 2 this line of charge is given by E = 2k -- = -F, where is a unit vector directed radially outward 2EOT from the infinitely long wire of charge. r Hint a. Letting the voltage be zero at some reference distance (V(ro) = 0), calculate the voltage due to this infinite line of charge at some distance r from the line of charge. Give your answer in terms of given quantities (1,70,r) and physical constants (ke or €0). Use underscore ("-") for subscripts and spell out Greek letters. Hint for V(r) calculation V(r) = b. There is a reason we are not setting V(r +00) = 0 as we normally do in fact, in general, whenever you have an infinite charge distribution, this universal reference" does not work; you need a localized charge distribution for this reference to work). Which of the following best describes what happens to potential as r → 00? (That is, what is V(r + o), with our current reference, V(ro) = 0?) OV(r +00) increases to +oo without limit. OV( ro) decreases to - oo without limit. OV( ro) oscillates within a bounded range (no well-defined limit but does not diverge). OV( ro) asymptotically approaches a finite value.