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R - Galileo and Einstein

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Potential Energy of Dipole in Electric Field:<br />

<br />

Torque Approach<br />

2 QE / 2 sin pE sin ,<br />

• d +Q<br />

pE.<br />

• A torque does work<br />

p<br />

dW d<br />

on turning through angle d ,<br />

so the total work on going<br />

from 90 to is:<br />

U<br />

<br />

0<br />

<br />

<br />

<br />

<br />

90<br />

90<br />

0<br />

0 0<br />

W d pE sin d pE cos<br />

p E<br />

p<br />

E.<br />

-Q<br />

<br />

Why is this negative? Remember when an object<br />

falls, the gravitational force does positive work on<br />

it, <strong>and</strong> it’s losing that amount of potential energy.

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