Rankers Physics

Gauss's Law: Practice Problem & Solution

A dipole of dipole moment $\vec{p}$ is placed in uniform electric field $\vec{E}$ then torque acting on it is given by: (2001)
$\vec{\tau} = \vec{p} \cdot \vec{E}$
$\vec{\tau} = \vec{p} \times \vec{E}$
$\vec{\tau} = \vec{p} + \vec{E}$
$\vec{\tau} = \vec{p} - \vec{E}$

Solution Explained:

To solve this problem, we apply the core principles of Gauss's Law. Understanding the underlying formula is key to arriving at the correct answer below:

The torque acting on an electric dipole in a uniform electric field is the cross product of the dipole moment and the electric field. Thus, $\vec{\tau} = \vec{p} \times \vec{E}$.

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