A spherical shell of charge +Q, has outer radius `r_2` and inner radius `r_1` . If a charge +q is placed at the centre of shell then what are the valu

Question

A spherical shell of charge +Q, has outer radius `r_2` and inner radius `r_1` . If a charge +q is placed at the centre of shell then what are the valu

A spherical shell of charge +Q, has outer radius `r_2` and inner radius `r_1` . If a charge +q is placed at the centre of shell then what are the values of surface charge density of inner and outer surfaces?

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Here charge +Q resides on the outer surface. As +q charge is placed at centre, a charge – q is induced on inner surface and a charge +q is induced on outer surface.
Hence, total charge on outer surface =Q + q , and surface charge density of outer surface, ltbgt `sigma_2=(Q+q)/(4pir_2^2)`
Surface charge density of inner surface, `sigma_1=q/(4pir_1^2)`