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Electric dipole's maximum angular velocity 
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#1
Feb1708, 09:42 PM

P: 1

1. The problem statement, all variables and given/known data
Consider an electric dipole located in a region with an electric field of magnitude [tex]\vec{E}[/tex] 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 has moment of inertia I about its center of mass. The dipole is released from angle [tex]\theta[/tex], and it is allowed to rotate freely. What is [tex]\omega_{max}[/tex], the magnitude of the dipole's angular velocity when it is pointing along the y axis? 2. Relevant equations dipole moment p= qd [tex]\vec{\tau}[/tex]=[tex]\vec{p}[/tex]X[tex]\vec{E}[/tex] U= [tex]\vec{p}[/tex] [tex]\cdot[/tex][tex]\vec{E}[/tex] 3. The attempt at a solution I attempted to use energy, but I am not sure how to do it correctly  does potential energy equal kinetic? is the potential energy the one described in the above equation? 


#2
Feb1808, 03:55 AM

HW Helper
P: 857

dipole in a E field gives torque, torque is a force and can then be related to moment of inertia and angular acceleration



#3
Feb1808, 10:09 AM

Sci Advisor
P: 1,256

You can use your expression for U and (1/2)I\omega^2 for the KE.



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