Respuesta :
The torque produced on an electric dipole by an electric field is defined as
[tex]tourqr=p*E[/tex]
where:
- p: the dipole moment in (c.m)
- E: electric field in (N/c)
Thus
[tex]tourqr=6.2*10^{-30}*3.3*10^{8}=20.46*10^{-22}=2.046*10^{-21} N.m[/tex]
note that the unit of the torque is N.m
The maximum possible torque on a water molecule is [tex]20.46\times 10^{-22}[/tex] N.m.
Electric Dipole
An electric field that is subjected to external torque is known as an electric dipole.
It is given by the formula:
[tex]\rm{dipole\ Moment=\dfrac{Torque}{Electric\ field}[/tex]
Given to us
- the permanent electric dipole moment of the water molecule (h2o) is 6.2×10−30c⋅m.
- electric field = 3.3×108 n/c
Solution
We know the formula for electric dipole,
[tex]\rm{dipole\ Moment=\dfrac{Torque}{Electric\ field}[/tex]
Substituting the values we get
[tex]6.2\times10^{-30} =\dfrac{\tau}{3.3\times 10^8}\\\\ 6.2\times10^{-30} \times 3.3\times 10^8= \tau\\ \tau = 20.46 \times 10^{-22}[/tex]
Hence, the maximum possible torque on a water molecule is [tex]20.46\times 10^{-22}[/tex] N.m.
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