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What is the torque experienced by a dipole in a uniform field?
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.
What is the significance of the dipole moment operator in quantum mechanics?
The dipole moment operator in quantum mechanics is important because it helps us understand the distribution of charge within a molecule. It is used to calculate the strength and direction of the electric dipole moment, which is crucial for studying molecular properties and interactions.
When is the torque on an electric dipole in an electric field is maximum?
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.
How electric field is equal to force by dipole moment?
The electric field produced by a dipole at a distance is given by the formula E = 2kP/r^3, where k is the electrostatic constant, P is the dipole moment, and r is the distance from the dipole. This electric field exerts a force on a test charge q placed in the field, given by F = qE. Therefore, the force on a charge due to a dipole moment is directly proportional to the dipole moment and the charge, according to these equations.
You turn an electric dipole end for end in a uniform electric field.How does the work you do depend on the initial orientation of the dipole with respect to the field?
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.
What is the angle between dipole moment and electric field in a electric dipole?
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.
What is difference between between electric dipole moment and magnetic dipole moment?
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.
What is the torque experienced by a dipole in a uniform field?
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.
Why the direction of dipole moment of electric dipole is taken from negative to positive charge?
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.
What is the significance of the dipole moment operator in quantum mechanics?
The dipole moment operator in quantum mechanics is important because it helps us understand the distribution of charge within a molecule. It is used to calculate the strength and direction of the electric dipole moment, which is crucial for studying molecular properties and interactions.
When is the torque on an electric dipole in an electric field is maximum?
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.
What is the total charge on an electric dipole?
Q1:How to calculate electric potential due to a dipole? Q2:How to calculate electric potential due to ring of charges? Q3:How to calculate electric potential due to charge disk? Q4:how to calculate electric potential due to a quadrupole?
Which orientation of an electric dipole in an uniform electric field would correspond to unstable equilibrium?
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.
How electric field is equal to force by dipole moment?
The electric field produced by a dipole at a distance is given by the formula E = 2kP/r^3, where k is the electrostatic constant, P is the dipole moment, and r is the distance from the dipole. This electric field exerts a force on a test charge q placed in the field, given by F = qE. Therefore, the force on a charge due to a dipole moment is directly proportional to the dipole moment and the charge, according to these equations.
What is the relationship between dipole moment and polarizability in molecules?
The dipole moment of a molecule is related to its polarizability. A molecule with a higher dipole moment tends to have higher polarizability, meaning it can be easily distorted by an external electric field. This is because the distribution of charge within the molecule is more uneven in molecules with higher dipole moments.
Does ammonia have a dipole moment?
NH3 is an asymmetrical compound.So it is exhibits.
Why can have an isolated atom not have a permanent electric dipole moment?
An isolated atom cannot have a permanent electric dipole moment because its charge distribution is spherically symmetric, meaning the positive and negative charges are evenly distributed. A dipole moment requires separation of positive and negative charges, which is not present in a spherically symmetric distribution.
