## Principles of Electricity and Electromagnetism |

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Page 18

Consider a hypothetical closed Gaussian surface lying completely inside a

surface is zero, it can enclose no net charge. As this hypothetical surface can be

...

Consider a hypothetical closed Gaussian surface lying completely inside a

**conductor**, as at the left in Fig. 1.12. Since the electric field at every point on thissurface is zero, it can enclose no net charge. As this hypothetical surface can be

...

Page 21

where Tj is the surface density of charge 0.J.j Tij on

from each element of charge to a point on

performed over the jth

by ...

where Tj is the surface density of charge 0.J.j Tij on

**conductor**j, rij is the distancefrom each element of charge to a point on

**conductor**i, and the integration isperformed over the jth

**conductor**. A certain symmetry is evident if this is multipliedby ...

Page 22

If the isolated

negative charge will be induced on the other

induction are in general negative, though in some cases they are zero.

If the isolated

**conductor**has a positive charge and hence a positive potential, anegative charge will be induced on the other

**conductor**. Hence the coefficients ofinduction are in general negative, though in some cases they are zero.

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