Question

Draw the orientation of electric dipole moment in a uniform electric field such that the dipole experience 76.6% of maximum torque

Answer 1

Answer:

Which orientation of an electric dipole in a uniform electric field would correspond to stable equilibrium ? Solution : The dipole is in stable equilibrium when electric dipole is in the direction of electric field vector and is parallel →P∣∣→E.

Answer 2

Given:

The dipole experiences 76.6% of maximum torque.

To find:

Orientation of the dipole in the Electrostatic Field.

Solution:

Let dipole moment be P , uniform electric field intensity be E and the angle between dipole moment and field be $\theta$.

Maximum torque is given as :

$\therefore \: \tau = PE \times \sin( \theta)$

$= > \: \tau_{max} = PE \times \sin( 90 \degree)$

$= > \: \tau_{max} = PE$

But, dipole experiences 76.6% of max torque :

$\therefore \: \tau = 76.6\% \times ( \tau_{max})$

$= > \: PE \sin( \theta) = 76.6\% \times (PE )$

$= > \: \cancel{PE} \sin( \theta) = 76.6\% \times \cancel{PE }$

$= > \: \sin( \theta) = \dfrac{76.6}{100}$

$= > \: \sin( \theta) = 0.766$

$= > \: \theta = 49.9 \degree$

So , angle between Dipole Moment and Electrostatic Field is 49.9°.