when dipole moment,torque and electric field all the three are perpendicular to each other.
The angle between the electric dipole moment and the electric field strength on the axial line is 0 degrees (or parallel). This is because on the axial line, the electric field points in the same direction as the electric dipole moment, resulting in the minimum potential energy configuration for the dipole.
The torque on an electric dipole in an electric field is maximum when the dipole is aligned parallel or anti-parallel to the electric field lines. This occurs because the torque is given by the cross product of the electric dipole moment vector and the electric field vector, and it is maximum when the angle between them is 90 degrees.
The torque experienced by a dipole in a uniform field is equal to the product of the magnitude of the dipole moment and the strength of the field, multiplied by the sine of the angle between the dipole moment and the field direction.
An electric quadrupole is a configuration of four equal and opposite charges that creates a more complex pattern of electric field lines compared to a dipole. The intensity of the electric field for an electric quadrupole decreases more rapidly with distance compared to a dipole due to the higher order nature of the quadrupole moment.
A dipole is in unstable equilibrium in an electric field when the external electric field opposes the natural alignment of the dipole moment. This causes the dipole to experience a torque that rotates it away from its equilibrium position. If the force pushing the dipole away from equilibrium is stronger than any restoring forces, the equilibrium is considered unstable.
The angle between the dipole moment and the electric field in an electric dipole is 0 degrees or 180 degrees. This means the dipole moment is either aligned with or opposite to the electric field direction.
So interesting query! As we keep the dipole with its dipole moment along the direction of the electric field then it will be in stable equilibrium. IF we keep the same dipole inverted ie its dipole moment opposite to the external field then the dipole will be in unstable equilibrium.
The angle between the electric dipole moment and the electric field strength on the axial line is 0 degrees (or parallel). This is because on the axial line, the electric field points in the same direction as the electric dipole moment, resulting in the minimum potential energy configuration for the dipole.
The torque on an electric dipole in an electric field is maximum when the dipole is aligned parallel or anti-parallel to the electric field lines. This occurs because the torque is given by the cross product of the electric dipole moment vector and the electric field vector, and it is maximum when the angle between them is 90 degrees.
The torque experienced by a dipole in a uniform field is equal to the product of the magnitude of the dipole moment and the strength of the field, multiplied by the sine of the angle between the dipole moment and the field direction.
The direction of the dipole moment of an electric dipole from negative to positive charge is chosen as a convention to align with the direction of the electric field produced by the dipole. This convention allows for easy calculation and understanding of how the dipole interacts with external electric fields.
An electric dipole moment is a measure of the separation of positive and negative charges in a system, creating an electric field. A magnetic dipole moment, on the other hand, is a measure of the strength and orientation of a magnetic field created by a current loop or a moving charge. In essence, electric dipole moments deal with electric fields generated by charges, while magnetic dipole moments pertain to magnetic fields generated by moving charges.
Because opposite charges attract. The negative end of the dipole moment is trying to get to the positive end of the field, and the positive end of the dipole is trying to get to the negative end of the field.
An electric quadrupole is a configuration of four equal and opposite charges that creates a more complex pattern of electric field lines compared to a dipole. The intensity of the electric field for an electric quadrupole decreases more rapidly with distance compared to a dipole due to the higher order nature of the quadrupole moment.
A dipole is in unstable equilibrium in an electric field when the external electric field opposes the natural alignment of the dipole moment. This causes the dipole to experience a torque that rotates it away from its equilibrium position. If the force pushing the dipole away from equilibrium is stronger than any restoring forces, the equilibrium is considered unstable.
An electric field parallel to an electric dipole will exert a torque on the dipole, causing it to align with the field. An electric field anti-parallel to an electric dipole will also exert a torque on the dipole, causing it to rotate and align with the field in the opposite direction.
The work done by you to turn the electric dipole end for end in a uniform electric field depends on the initial orientation of the dipole with respect to the field. If the dipole is initially oriented such that its positive and negative charges are parallel to the electric field, then no net work is done as the electric field does not do any work on the dipole as the electric field lines do not transfer any energy. On the other hand, if the dipole is initially oriented such that its positive and negative charges are perpendicular to the electric field, then work is done by you to turn the dipole as the electric field exerts a force on the charges in the dipole in opposite directions, causing them to move in opposite directions. As a result, you have to do work to move the charges and turn the dipole.