P.E=−pEcosθ=−p⋅E . This is negative when θ is acute and positive when θ is obtuse.
What is potential energy of a dipole?
We derived the expression of potential energy in terms of the angle made by the direction of the electric dipole moment and the direction of the external uniform electric field. We found that the potential energy is the negative of the dot product of dipole moment and the electric field .
What is the potential energy of a dipole in a uniform electric field is maximum for?
The potential energy is maximum when the dipole is aligned anti-parallel (θ = π) to the external electric field and minimum when the dipole is aligned parallel (θ = 0) to the external electric field.
What is the potential energy of a dipole moment P in a uniform electric field E?
Also, the potential energy of the dipole moment is maximum, that is [ + pE] when the angle between dipole moment [vec p] and electric field [vec E], is [pi ]. So, the correct answer is “Option C”.
What is electric potential energy in a uniform field?
E=−ΔVΔs E = − Δ V Δ s , where Δs is the distance over which the change in potential, ΔV, takes place. The minus sign tells us that E points in the direction of decreasing potential. The electric field is said to be the gradient (as in grade or slope) of the electric potential.
What is the potential energy of a dipole in an external field?
The potential energy of a dipole in an external field
τ = p × E . This work is saved as the system’s potential energy. The potential energy U(θ) can then be linked to the dipole’s inclination θ.
At what potential energy is minimum?
When a person will be lying on the ground then he will be having a minimum or zero height above the ground . Hence the potential energy of the person will also be the minimum one.
When an electric dipole is held at an angle in a uniform electric field?
1) the forces experienced by the 2 charges constituting the electric dipole when placed in an uniform external electric field are equal and opposite in nature, the net force on the dipole is zero . No torque act on the dipole when the moment of electric dipole is parallel to the electric field.
For what position of an electric dipole in a uniform electric field its potential energy is minimum and maximum?
Potential energy of an electric dipole is maximum when it makes 180 degree with electric field and minimum when angle between them is zero degree .
When an electric dipole is placed in a uniform?
Even if we change the orientation, the length and the charge of the dipole, the net force on the dipole will be equal to zero. Hence, the electric force on a dipole when it is placed in a uniform electric field is always zero .
What is the angle between dipole moment and electric field?
Therefore, the angle between dipole moment and electric field is 180° .
What do you mean by potential energy of an electric dipole when placed in an electric field?
Potential energy of a dipole in an external fieldElectric potential energy of an Electric dipole in dipole from zero energy position to the desired position (The zero enrgy position to be one when the dipole When an electric dipole of dipole moment p is on it such that P = [ P ] × [ E ] This torque tends to rotate the ...
What is the angle between P and E?
The dipole is in stable equilibrium, when the torque on it is zero. Since →τ=→p×→E, therefore τ = 0 when the angle between →p and →E = 0.
What is the relation between electric potential and potential energy?
Electric potential energy Ue is the potential energy stored when charges are out of equilibrium (like gravitational potential energy). Electric potential is the same, but per charge, Ueq. An electric potential difference between two points is called voltage, V=Ue2q−Ue1q.
What is the relation between electric field and potential?
The relationship between potential and field (E) is a differential: electric field is the gradient of potential (V) in the x direction . This can be represented as: Ex=−dVdx E x = − dV dx . Thus, as the test charge is moved in the x direction, the rate of the its change in potential is the value of the electric field.
What is work done in electric field?
Work is done in an electric field to move the charge against the force of attraction and repulsion applied to the charge by the electric field . This work done is only dependent on the initial and final position of the charge and the magnitude of the charge.
