[2pts] A magnesium ion (Mg2+) and a calcium ion (Ca2+) are lo- cated in points A and B, separated by a distance 2d along the z-axis as indicated in the schematic. What is electric force acting on the magnesium ion? Write your result symbolically, expressing charges in terms of the elementary charge e. Fca on Mg= [4pts] (Mg2+ Now a neutral molecule Na with polarizability a is placed in (Mg2+) the midpoint between the two ions. What is the net electric force acting on this molecule, and what does the presence of Na mean for the net force felt by the magnesium ion? Force on Na: Force on Mg2+: [10pts] Finally, the calcium ion is removed. Determine the dipole (Mg2+) moment p now induced in the neutral molecule and express it as a function of the given parameters (such as d and a) and known natural constants (such as e and €0). p = 2d Z d Z d Ꮓ PN Na d Ca2+ Ca2+ Ca2+ [14pts] Determine the electric force Fon No acting on the neutral molecule in the above final configuration (shown in the schematic of part 3), again expressing your result in terms of the given parameters and known natural constants.

[2pts] A magnesium ion (Mg2+) and a calcium ion (Ca2+) are lo- cated in points A and B, separated by a distance 2d along the z-axis as indicated in the schematic. What is electric force acting on the magnesium ion? Write your result symbolically, expressing charges in terms of the elementary charge e. Fca on Mg= [4pts] (Mg2+ Now a neutral molecule Na with polarizability a is placed in (Mg2+) the midpoint between the two ions. What is the net electric force acting on this molecule, and what does the presence of Na mean for the net force felt by the magnesium ion? Force on Na: Force on Mg2+: [10pts] Finally, the calcium ion is removed. Determine the dipole (Mg2+) moment p now induced in the neutral molecule and express it as a function of the given parameters (such as d and a) and known natural constants (such as e and €0). p = 2d Z d Z d Ꮓ PN Na d Ca2+ Ca2+ Ca2+ [14pts] Determine the electric force Fon No acting on the neutral molecule in the above final configuration (shown in the schematic of part 3), again expressing your result in terms of the given parameters and known natural constants.

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Electricity And Magnetism

Section: Chapter Questions

Problem 2P: (a) Find the magnitude of the electric force between a Na+ ion and a Cl ion separated by 0.50 nm....

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