An electric dipole of dipole miment `vec(p)` is placed in a uniform electric field `vec(E )`. Write the expression for the torque `vec tau` experienced by the dopole. Identify two pairs of perpendicular vectors in the expression. Show diagrammatically the orientation of hte dipole in the field for which the torque is (i) maximum and (ii) half the minimum value, and (iii) zero.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Write the expression for the torque experienced by the dipole
The torque \(\vec{\tau}\) experienced by an electric dipole \(\vec{p}\) in a uniform electric field \(\vec{E}\) is given by the vector cross product:

\[ \vec{\tau} = \vec{p} \times \vec{E} \]
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