Question #191411

Given the dielectric constant of water 80. If the average molecular magnetic dipole moment of water is 6.2×10^-30 cm. Determine polarisation and electric field?

1
Expert's answer
2021-05-12T16:50:09-0400

Answer

Bond lenth of O-H

d=0.94×1010md=0.94\times10^{-10}m

Angle between two O-H bond =52.5°


Dipole moment is given by

p=edp=ed

e= polarity of molecule

d=distance between molecule

Distance between molecule

D=dcos52.5°

So polarity can be obtain as

e=pdcos52.5°e=\frac{p}{dcos52.5°}

So

e=6.2×1030(0.94×1010)cos52.5°=1.08×1020Ce=\frac{6.2\times10^{-30}}{(0.94\times10^{-10})cos52.5°}=1.08\times10^{20}C


Electric field due to dipole can be obtain as by formula below

E=Kp(4πϵ0r3)E=5.58×1021r3N/CE=\frac{Kp}{(4\pi \epsilon _0r3)}\\E=\frac{5.58\times10^{-21}}{r^3} N/C


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