Since ‘qd’ is the magnitude of dipole moment (p), and the direction of dipole moment is from positive to negative charge; torque is the cross product of dipole moment and electric field.
What is the formula of torque in 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. The torque tends to align the moment of the dipole p in the direction of E.
Is torque perpendicular to the electric field?
Case(I)→ If the dipole is placed perpendicular to the electric field i.e. θ=90∘, the torque acting on it will be maximum. Hence Electric dipole moment is the torque acting on the dipole placed perpendicular to the direction of unit uniform electric field intensity. …
How do you find the electric field dipole?
The formula for electric dipole moment for a pair of equal & opposite charges is p = qd, the magnitude of the charges multiplied by the distance between the two.
What is torque in magnetic field?
A current-carrying coil kept in a magnetic field experiences a torque, which is the cross product of the magnetic moment and the field vector. Hence, the torque is maximum when the dipole moment is perpendicular to the field, and zero when it’s parallel or antiparallel to the field.
What is torque in physics class 12?
Torque is the measure of the force that can cause an object to rotate about an axis. … Hence, torque can be defined as the rotational equivalent of linear force. The point where the object rotates is called the axis of rotation. In physics, torque is simply the tendency of a force to turn or twist.
What is an electric dipole establish the necessary formula for the torque acting on an electric dipole in a uniform electric field?
Show that the torque on an electric dipole placed in a uniform electric field is →τ=→P×→E. … A pair of electric charges with an equal magnitude but opposite charges separated by a distance is known as an electric dipole.
What is electric field due to dipole?
The electric field at A due to an electric dipole, is perpendicular to the dipole moment vector →P, the angle θ is: … By default, the direction of electric dipoles in space is always from negative charge $ – q$to positive charge $q$. The midpoint $q$ and $ – q$is called the center of the dipole.
What is Z in electric dipole?
Of course, the quantity z in the denominator is the distance of the point of interest from the center of the dipole. Both q and d are unique properties of a given dipole. In other words, every dipole will have a unique charge magnitude and also will have a unique separation distance.
How do you determine torque?
A practical way to calculate the magnitude of the torque is to first determine the lever arm and then multiply it times the applied force. The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force. and the magnitude of the torque is τ = N m.
What is the right hand rule torque?
To use the right hand rule in torque problems, take your right hand and point it in the direction of the position vector (r or d), then turn your fingers in the direction of the force and your thumb will point toward the direction of the torque.
Why is torque direction?
Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration. … The direction of the torque vector depends on the direction of the force on the axis.
How is dipole moment calculated?
The dipole moment is calculated by multiplying the distance between the hydrogen and oxygen atoms by the difference in their charge. Then, the angle between the atoms is used to find the net dipole moment. The angle formed by a water molecule is known to be 104.5° and the bond moment of the O-H bond is -1.5D.
What is the electric dipole calculate the electric potential of the electric dipole?
Therefore, the electric potential due to an electric dipole at a given point is equal to KPcosθr2−a2cos2θ.