Work Done in Rotating a Dipole – Rankers Physics

Electric Dipole: Practice Problem & Solution

An electric dipole of dipole moment \(\vec{P}\) is initially aligned along a uniform electric field \(\vec{E}\). The work done in rotating it by \(90^\circ\) will be
\(-PE\)
Zero
\(PE\)
\(\frac{PE}{2}\)

Short Solution (Best for NEET):

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

The work done in rotating a dipole in a uniform electric field is given by \(W = PE(cos\theta_1 - cos\theta_2)\). Since it is rotated from \(\theta_1 = 0^\circ\) to \(\theta_2 = 90^\circ\), \(W = PE(cos 0^\circ - cos 90^\circ) = PE\).

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