A tiny electric dipole of dipole moment P→=P0j^ is placed at point (l,0). There exists an electric field E→=2ax2i^+(2by2+2cy)j^.

Fx=Px∂Ex∂x=0Fy=Py∂Ey∂y=P0(4by+2c)∴F=2cP0j^

A tiny electric dipole of dipole moment P→=P0j^ is placed at point (l,0). There exists an electric field E→=2ax2i^+(2by2+2cy)j^.

Fx=Px∂Ex∂x=0Fy=Py∂Ey∂y=P0(4by+2c)∴F=2cP0j^

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A tiny electric dipole of dipole moment $\vec{P} = P_{0} \hat{j}$ is placed at point $(l, 0) .$ There exists an electric field $\vec{E} = 2 a x^{2} \hat{i} + (2 b y^{2} + 2 c y) \hat{j} .$

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Force on dipole is $2 P_{0} a \hat{i}$

Force on dipole is $2 P_{0} b \hat{j}$

Force on dipole is $2 P_{0} c \hat{j}$

Force on dipole is $- 2 P_{0} c \hat{j}$

answer is C.

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Detailed Solution

$F_{x} = P_{x} \frac{\partial E_{x}}{\partial x} = 0$

$F_{y} = P_{y} \frac{\partial E_{y}}{\partial y} = P_{0} (4 b y + 2 c)$

$∴ F = 2 c P_{0} \hat{j}$

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A tiny electric dipole of dipole moment P→=P0j^ is placed at point (l,0). There exists an electric field E→=2ax2i^+(2by2+2cy)j^.

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A tiny electric dipole of dipole moment $\vec{P} = P_{0} \hat{j}$ is placed at point $(l, 0) .$ There exists an electric field $\vec{E} = 2 a x^{2} \hat{i} + (2 b y^{2} + 2 c y) \hat{j} .$