In particular, note that the torque is zero when the dipole and electric field vectors are parallel. Thus, a dipole will always experience a torque that tends to align it with the electric field vector. The dipole is thus in a stable equilibrium when it is parallel to the electric field. not in equilibrium.
When an electric dipole is placed perpendicular to the external electric field the torque acting on it is?
τ = p E sinθ
The value of sine function is maximum at an angle of 90°, i.e., sin90° = 1, so the dipole experiences the maximum torque at an angle of 90° with the field, or we can say that the dipole experiences the maximum torque when it is held perpendicular to the electric field.
When an electric dipole is placed in an external electric field the dipole?
It is interesting to learn that, a dipole placed in an external electric field acquires a rotating effect. This rotating effect is termed as ‘torque’ felt by the dipole. Excitingly, the net torque can be calculated on the opposite charges present in a dipole for estimating the overall rotation.
When the torque on an electric dipole placed in a uniform electric field is?
Show that the torque on an electric dipole placed in a uniform electric field is. τ =P. ×E.
What is the formula of torque in electric field?
Now let it be placed in a uniform electric field which is of strength denoted as E such that the axis of the dipole forms an angle θ with the electric field. An electric dipole in an electric field that is external is subjected to a torque written as τ = pE sin θ where symbol θ is the angle which is between p and E.
Why is electric field inside a sphere zero?
The electric field immediately above the surface of a conductor is directed normal to that surface. … Now, the gaussian surface encloses no charge, since all of the charge lies on the shell, so it follows from Gauss’ law, and symmetry, that the electric field inside the shell is zero.
What happens if the electric field is non uniform?
On the other hand, if the electric field is nonuniform, the force on each of the two poles of the dipole is not equal; therefore, the net force is not equal to zero and there is movement of the particle. Furthermore, when a polarizable object is subjected to an electric field, a dipole moment is induced.
When an electric field is applied to a dipole?
In the presence of a uniform external electric field, the dipole aligns with the electric field (the direction from the negative charge to the positive charge being the same as that of the electric field) due to electric forces that are equal in magnitude and opposite in direction acting on the charges, and the net …
How does a dipole behave in electric field?
In an electric field a dipole undergoes a torque, tending to rotate so that its axis becomes aligned with the direction of the electric field. … The electric dipole moment, a vector, is directed along the line from negative charge toward positive charge.