A system of three charges are placed as shown in the figure: If D   > >   d , the…

A system of three charges are placed as shown in the figure:

If $\mathrm{D}\mathrm{ }>>\mathrm{ }\mathrm{d},$ the potential energy of the system is best given by:

1. $\frac{1}{4\mathrm{\pi }{\mathrm{ϵ}}_0}\left[-\frac{{\mathrm{q}}^2}{\mathrm{d}}-\frac{\mathrm{q}\mathrm{ }\mathrm{Q}\mathrm{ }\mathrm{d}}{{\mathrm{D}}^2}\right]$
2. $\frac{1}{4\mathrm{\pi }{\mathrm{ϵ}}_0}\left[+\frac{{\mathrm{q}}^2}{\mathrm{d}}+\frac{\mathrm{q}\mathrm{ }\mathrm{Q}\mathrm{ }\mathrm{d}}{{\mathrm{D}}^2}\right]$
3. $\frac{1}{4\mathrm{\pi }{\mathrm{ϵ}}_0}\left[-\frac{{\mathrm{q}}^2}{\mathrm{d}}-\frac{\mathrm{q}\mathrm{ }\mathrm{Q}\mathrm{ }\mathrm{d}}{2{\mathrm{D}}^2}\right]$
4. $\frac{1}{4\mathrm{\pi }{\mathrm{ϵ}}_0}\left[-\frac{{\mathrm{q}}^2}{\mathrm{d}}+\frac{2\mathrm{q}\mathrm{ }\mathrm{Q}\mathrm{ }\mathrm{d}}{{\mathrm{D}}^2}\right]$

Solution

Asked in: JEE Main 2019 (09 Apr Shift 1)

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