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The screened Coulomb potential q_exp(-7½) V(r) = 4TE, is appropriate for a charge q in a semi-conducting medium. (a) Calculate the corresponding electric field E(r) and show that it can be expressed as a product of a scalar function f(r) and a vector function v(r). Ē(7) = f(r)v(F) where v(F): (b) Calculate the corresponding charge density.

The screened Coulomb potential q_exp(-7½) V(r) = 4TE, is appropriate for a charge q in a semi-conducting medium. (a) Calculate the corresponding electric field E(r) and show that it can be expressed as a product of a scalar function f(r) and a vector function v(r). Ē(7) = f(r)v(F) where v(F): (b) Calculate the corresponding charge density.

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Please answer parts (a) and (b), showing all work.

The screened Coulomb potential exp(-"½2) V(r) = 4TE, is appropriate for a charge q in a semi-conducting medium. (a) Calculate the corresponding electric field E(r) and show that it can be expressed as a product of a scalar function f(r) and a vector function v(r). Ē(F) = f(r)ï(F) where v(7) (b) Calculate the corresponding charge density.
Transcribed Image Text:The screened Coulomb potential exp(-"½2) V(r) = 4TE, is appropriate for a charge q in a semi-conducting medium. (a) Calculate the corresponding electric field E(r) and show that it can be expressed as a product of a scalar function f(r) and a vector function v(r). Ē(F) = f(r)ï(F) where v(7) (b) Calculate the corresponding charge density.
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