An infinite sheet carrying a unif rm surface charge density σ lies on the xy-plane. The work done to carry a charge qfrom the point A^{\to} = a (i^{\^} + j^{\^} + 3k^{\^}) to the point B^{\to} = a (i^{\^} - 2j^{\^}+6k^{\^}) (where a is a constant with the dimension oflength and \epsilon_0 is the permittivity of free space) is

WBJEE 2014 Physics Solved Paper

Question : 36 of 60

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An infinite sheet carrying a unif rm surface charge density σ lies on the xy-plane. The work done to carry a charge qfrom the point

→

= a (

) to the point

→

= a (

−2

) (where a is a constant with the dimension oflength and ε0 is the permittivity of free space) is

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