In particle and atomic physics, a Yukawa potential (also called a screened Coulomb potential) is a potential of the form , where g is the amplitude of potential, m is the mass of the mediating particle, r is the radial distance to the particle, and k is another constant. The potential is monotonically increasing. this can be realized by appropriate charge distribution. The Coulomb potential of a point charge is an example of a Yukawa potential with e–kmr equal to 1 everywhere. The equation simplifies to the form of the Coulomb potential A comparison of the long range potential strength for Yukawa and Coulomb is shown in figure. It can be seen that the Coulomb potential has effect over a greater distance whereas the Yukawa potential approaches zero rather quickly. However, any Yukawa potential or Coulomb potential are non-zero for any large r.
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The electric field produced by Yukawa potential is given by
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Yukawa potential becomes coulomb potential at
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The correct statement regarding force due to coulomb potential Fc and force due to Yukawa potential Fy.
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