(Forces on a dipole): You may wonder if one can exert an electrostatic force on
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Question
(Forces on a dipole):
You may wonder if one can exert an electrostatic force on an electric dipole, which is
overall neutral. To investigate this, suppose you have a NaCl molecule (electric
dipole) and a proton (p) with charge +q = e = 1.6x10-19 C lined up the way it is shown
below, so the Clion is a distance R from the proton and the Na+
ion is a distance R+d from the proton.
1) Write down a formula for the magnitude of the net electrostatic force on the dipole
by the proton. If the magnitude is not zero, is it an attractive or a repulsive force?
Briefly explain.
2) Now assume R = 1 mm and calculate the magnitude of the net electrostatic force
on the dipole by the proton.
3) Next, calculate the magnitude of the electrostatic force on the proton by the
dipole. Is the magnitude of this force larger than, smaller than or equal to the net
force you found in part 2)? Which physical principle justifies your answer? Physics 2020, Fall 2013 page 2 of 2
University of Colorado at Boulder, Department of Physics
4) Suppose in our arrangement we rotate the NaCl molecule by 180 degrees. Thus,
now the proton is a distance R from the Na+
ion and a distance R+d from the Clion. Would the magnitudes and directions of the electrostatic forces change,
which you calculated in parts 2) and 3)? Why or why not?
Explanation / Answer
force acting on dipole creates the torque given by T = p X E or pEsin theta
where p = 2aq
b. Ef due to dipole E = p/4pie0 R^3
force F = Eq = 2aq^2/4pie0 SINCE R=1
C. SAME AS THAT PART b
D. MAGNETUDE LL REMAIN SAME BUT DIECTION WILL BECOME OPPOSTE TO THTA OF EARLER PATH
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