Consider an infinitely long wire of charge carrying a positive charge density of λ. The electric field due to this line of charge is given by E→=2ke(λ/r)r^=λ/(2πε0r)r^, where r^ is a unit vector directed radially outward from the infinitely long wire of charge. a) Letting the voltage be zero at some reference distance (V(r_0)=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 (λ,r0,r) and physical constants (ke or ε0). Use underscore ("_") for subscripts and spell out Greek letters.
Consider an infinitely long wire of charge carrying a positive charge density of λ. The electric field due to this line of charge is given by E→=2ke(λ/r)r^=λ/(2πε0r)r^, where r^ is a unit vector directed radially outward from the infinitely long wire of charge. a) Letting the voltage be zero at some reference distance (V(r_0)=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 (λ,r0,r) and physical constants (ke or ε0). Use underscore ("_") for subscripts and spell out Greek letters.
Chapter7: Electric Potential
Section: Chapter Questions
Problem 79P: (a) Will the electric field strength between two parallel conducting plates exceed the breakdown...
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Consider an infinitely long wire of charge carrying a positive charge density of λ. The electric field due to this line of charge is given by E→=2ke(λ/r)r^=λ/(2πε0r)r^, where r^ is a unit vector directed radially outward from the infinitely long wire of charge.
a) Letting the voltage be zero at some reference distance (V(r_0)=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 (λ,r0,r) and physical constants (ke or ε0). Use underscore ("_") for subscripts and spell out Greek letters.
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