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Equipotential spheres are drawn round a ...

Equipotential spheres are drawn round a point charge. As we move away from charge will the spacing between two spheres having a constant potential difference decrease, increase or remain constant.

Text Solution

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`V_1gtV_2`
`V_1=1/(4piepsilon_0).q/r_1` and `V_2=1/(4piepsilon_0)` and `V_2=1/(4piepsilon_0).q/r_2`
`Now, `V_1-V_2=q/(4piepsilon_0)(1/r_1-1/r_2)=q/(4piepsilon_0) ((r_2-r_1)/(r_1r_2)`
`:. (r_2-r_1)=((4piepsilon_(0))(V_1-V_2))/q(r_1r_2)`
For a constant potential difference `(V_1-V_2)`
`r_2-r_1 prop r_1r_2`
i.e. the spacing between two spheres `(r_2-r_1)` increases as we move away from the charge, because the product `r_1r_2` will increase.
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