A long line carrying a uniform linear charge density +50.0μC/m runs along the x-axis. Its y and z coordinates are (0,0). A large, flat plastic sheet runs parallel to the line. The sheet is in the xz plane and is located on the y-axis at −10.0cm (i.e. the plastic sheet is 10 cm below the line). The sheet has a uniform surface charge density of −100μC/m^2. Find the distance from the line charge to the point where the charged particle feels no force.
A long line carrying a uniform linear charge density +50.0μC/m runs along the x-axis. Its y and z coordinates are (0,0). A large, flat plastic sheet runs parallel to the line. The sheet is in the xz plane and is located on the y-axis at −10.0cm (i.e. the plastic sheet is 10 cm below the line). The sheet has a uniform surface charge density of −100μC/m^2.
Find the distance from the line charge to the point where the charged particle feels no force.
For the non-conducting sheet, the electric field generated will be given by,
Here σ is the surface charge density and ε0 is the permittivity of free space.
The electric field created due to a line of charge is given by,
Here λ is the linear charge density, ε0 is the permittivity of free space, and L is the distance from the line charge.
For the particle to experience no force these fields should be equal,
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