Two electric dipoles of moments $P$ and $64P$ are placed in opposite directions on a line at a distance of 25 cm. The electric field will be zero at a point between the dipoles whose distance from the dipole of moment $P$ is

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5 cm. Between opposite dipoles, the fields can cancel if their magnitudes are equal. Using the axial dipole field relation $E \propto p/r^3$, we get $P/x^3 = 64P/(25-x)^3$, which gives $25-x = 4x$ and hence $x = 5$ cm.

Two electric dipoles of moments $P$ and $64P$ are placed in opposite directions on a line at a distance of 25 cm. The electric field will be zero at a point between the dipoles whose distance from the dipole of moment $P$ is

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