A positive charge q is placed in front of a conducting solidcube at a distanced from its centre. Find theelectricfield at the centre of the cubedue tothe charge appearing on its surface.

A positive charge q is placed in front of a conducting solidcube at a

1.	A positive charge q is placed in front of a conducting solidcube at a distanced from its centre. Find theelectricfield at the centre of the cubedue tothe charge appearing on its surface.
Answer» Solution :Charges will be inducedon the SURFACEOF thecube due to the charge q. Thenet electricfield at the centre of the cubedue to all the chargemustbe zero . Let `E_(1)` bethe electricfield due to chargeappearingon thesurface of the CUBE . If `E_(2)`is theelectric field due to charge q, then. `vec(E_(1)) + vec(E_(2)) = 0 or vec(E_(1)) - vec(E_(2)) or vec(E_(1)) = vec(E_(2))` The electricfield at the centreof thecube, due tocharge q. `E_(2) = ((1)/(4 piin_(0))) (q)/(d^(2))` `rArr E_(1) = ((1)/(4pi in_(0))) (q)/(d^(2))`