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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