Relation between Dielectric Constant and Force Between Two Charges Electrostatics Physics
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If two charges { q }_{ 1 } and { q }_{ 2 } are separated by distance r in vacuum then electrostatic force between them will be given by the Coulomb law as below: { F }_{ v } = frac { 1 }{ 4pi { epsilon }_{ 0 } } frac { { q }_{ 1 }{ q }_{ 2 } }{ { r }^{ 2 } } ...(1) Now if these charges are placed in a medium of absolute permittivity epsilon , then electrostatic force between these charges will be { F }_{ m } = frac { 1 }{ 4pi epsilon } frac { { q }_{ 1 }{ q }_{ 2 } }{ { r }^{ 2 } } ...(2) We know that epsilon = { epsilon }_{ 0 }{ epsilon }_{ r } =K{ epsilon }_{ 0 } where K is dielectric constant or Relative permittivity or specific inductive capacity. or K = frac { epsilon }{ { epsilon }_{ 0 } } Now, eqn. (2) becomes, { F }_{ m } = frac { 1 }{ 4pi K{ epsilon }_{ 0 } } frac { { q }_{ 1 }{ q }_{ 2 } }{ { r }^{ 2 } } ...(3) Dividing eqn. (1) by eqn. (3), frac { { F }_{ v } }{ { F }_{ m } } = frac { left( frac { 1 }{ 4pi { epsilon }_{ 0 } } frac { { q }_{ 1 }{ q }_{ 2 } }{ { r }^{ 2 } } right) }{ left( frac { 1 }{ 4pi K{ epsilon }_{ 0 } } frac { { q }_{ 1 }{ q }_{ 2 } }{ { r }^{ 2 } } right) } = K Hence, dielectric constant (or relative permittivity) of a medium is defined as the ratio of the electrostatic force between two point charges when placed a certain distance apart in vacuum to the electrostatic force between the same charges when placed same distance apart in a medium. This means a dielectric reduces the force between two charges. • Analytical Reasoning • • Solve Problems Related To Ages With T... • English Grammar • • Making Sense With Tense #1 - English ... • Interview Skills • • Questions You May Be Asked During an ... • Managerial Economics • • MCQ #1 of Managerial Economics • Royalty Free Stock Footage • • Flowers - Royalty free footage • Chemical Thermodynamics - Physical Chemistry • • State and Explain first law of thermo... • Ionic Equilibria - Physical Chemistry • • Derive expression for Ostwald’s Dilut... • Electrochemistry - Physical Chemistry • • What are different types of Reversibl... • Solid State - Physical Chemistry • • Explain the following terms | Solid S... • Gaseous State - Physical Chemistry • • Postulates of Kinetic Molecular Theor... • Colloidal States - Physical Chemistry • • What is Colloidal Solution? | Colloid... • Stereochemistry - Organic Chemistry • • Explain Configuration and Conformatio... • Nanomaterials - Engineering Chemistry • • Compare top down with bottom up Proce... • Water and Its Treatment - Engineering Chemistry • • Explain why hard water gives out a cu... • Electrochemistry - Engineering Chemistry • • Distinguish between metallic and elec... • Environmental Studies • • MCQ on Environmental Studies Part 8 • Optics - Applied Physics • • What are cartesian sign conventions f... • For Details Visit • http://cepekmedia.co.nf • http://cepek.hol.es/ • http://edmerls.66Ghz.com/ • http://edmerls.tk/
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