Electrostatic Force of Water on a Chlorine Ion

AI Thread Summary
The discussion focuses on calculating the electrostatic force exerted by a water molecule on a chlorine ion. The dipole moment of water is given, and the electric fields generated by both the water molecule and the chlorine ion are calculated separately. The user attempts to find the net electric field and subsequently the force on the chlorine ion by multiplying the net electric field by the charge of the ion. Clarification is sought regarding the multiplication of the net electric field by the charge of the chlorine ion to determine the force. The conversation emphasizes understanding the relationship between electric fields and forces in electrostatics.
moonlight13
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The dipole moment of the water molecule ({\rm H}_{2}{\rm O}) is 6.17 \times 10^{-30}\;{\rm C \cdot m}. Consider a water molecule located at the origin whose dipole moment p_vec points in the positive x direction. A chlorine ion ({\rm Cl}^{-}), of charge -1.60 \times 10^{-19}\;{\rm C}, is located at x=3.00 \times 10^{-9} meters. Assume that this x value is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used.

Find the magnitude of the electric force, ignoring the sign, that the water molecule exerts on the chlorine ion.

attempt to question:

the water has an electric field to the right and the chlorine ion has it to the left ..

i calculated the E for water and Cl- seperately

E (H2O):
E = 2Kp/r^3 = 2*(9x10^9)*(6.17x10^-30)/(3.00x10^-9)^3 = 4.11 x 10^6 N/C

E (Cl-):
E = KQ/r^2 = K(1.60x10^-19)/(3.00x10^-9)^2 = 1.6 x 10^8 N/C

now to find the force do I find the E(net) = 1.6 x 10^8 - 4.11 x 10^6 = 1.56 x 10^8 N/C
then times by charge? .. so E(net) x (1.6 x 10^-19) ..? = 2.49 x 10^-11 N...

Am I doing it right..??
Thank
 
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Can OSmeone please help me with this question..

Thank you
 
Why did you multiply it by 1.6x10^-19?
 
multiply which part by that??
 
why did you multiply E_net by 1.6x10^-19?
 
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