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  4. In the shown figure, the charge appearing on the conducting shell (grounded) of Radius R , when a point charge q is kept at a distance of d from the centre of the sphere is: <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-kdrp56c4kkkp.png />

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Q. In the shown figure, the charge appearing on the conducting shell (grounded) of Radius $R$ , when a point charge $q$ is kept at a distance of $d$ from the centre of the sphere is:
Question

NTA AbhyasNTA Abhyas 2020Electrostatic Potential and Capacitance

Solution:

The net potential on the surface of earthed conductor is zero.
Solution
$\therefore V =\frac{ q _{0}}{4 \pi \varepsilon_{0} r }+\frac{ q }{4 \pi \varepsilon_{0} d }=0$
$\therefore q _{0}=-\frac{ qr }{ d }$