Question

An electric dipole of length \(4\,\mathrm{cm}\) is placed in a uniform electric field of intensity \(2\times10^5\,\mathrm{N\,C^{-1}}\). When the dipole is oriented at a certain angle with the electric field, it experiences a torque of \(0.2\sqrt3\,\mathrm{N\,m}\) and possesses a potential energy of \(-0.2\,\mathrm{J}\). The magnitude of each charge of the dipole is

• A. \(75\,\mu\mathrm{C}\)
• B. \(50\,\mu\mathrm{C}\)
• C. \(100\,\mu\mathrm{C}\)
• D. \(25\,\mu\mathrm{C}\)

Hint:

For an electric dipole, \[ \boxed{ \tau=pE\sin\theta, \qquad U=-pE\cos\theta } \] and \[ \boxed{ p=qd. } \]

Answer 1

The Correct Option is B