R - Galileo and Einstein
R - Galileo and Einstein
R - Galileo and Einstein
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
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.