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In a certain region of space, electric field is along the Z-direction throughout. The magnitude of electric field is however, not constant but increases uniformly along the positive Z-direction, at the rate of $10^5 \mathrm{NC}^{-1}$ per metre. What are the force and torque experienced by a system having a total dipole moment equal to $10^{-7}$ $\mathrm{cm}$ in the negative $\mathrm{Z}$-direction ?
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$\mathrm{qx}=10^{-7} \mathrm{NC}^{-1} / \mathrm{m}$ (given)
Let $\mathrm{E}=$ Electric field at $\mathrm{A}$
$\therefore \quad \mathrm{E}+\mathrm{x} \times 10^5=$ Electric field at $\mathrm{B}$
$\left[\because \mathrm{E}\right.$ is increasing @10 $\left.10^5 \mathrm{NC}^{-1} \mathrm{~m}^{-1}\right]$

Let $\mathrm{E}=$ Electric field at $\mathrm{A}$
$\therefore \quad \mathrm{E}+\mathrm{x} \times 10^5=$ Electric field at $\mathrm{B}$
$\left[\because \mathrm{E}\right.$ is increasing @10 $\left.10^5 \mathrm{NC}^{-1} \mathrm{~m}^{-1}\right]$

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