Consider an electric dipole whose dipole moment (a vector pointing from the negi

Question

Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle theta with respect to the y axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and - q, respectively, and the two charges are a distance d apart. The dipole In terms of the dipole moment P vector, which of the following is an expression for the torque on a dipole in the field E vector In terms of the dipole moment P vector, which of the following is an expression for the potential energyof a dipole in the field E vector

Explanation / Answer

Part D)

The general relation between the torque, dipole moment and electric field may be hard to derive. However, you can easily compare the magnitude and/or direction of the torque derived for the particular case considered above with the magnitudes and/or directions of the expressions given below for the same physical situation

vectorP x vectorE

Part E)

The formula for vec{a} cdot vec{b} is vec{a} cdot vec{b} = | vec{a}|| vec{b}| cos theta, where texttip{ theta }{theta} is the smaller angle between texttip{ vec{a}}{a_vec} and texttip{ vec{b}}{b_vec}.

- vectorP dot vectorE

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