Problem 7: The formula for the molecular polarizability a = 4reg R of a metal sphere is useful for estimating the polarizability of an atom or molecule if Ris taken to be its radius. (a) Use this to estimate the molecular polarizability of hydrogen. (b) What is the induced dipole moment (in Debyes) if the electric field is 3 x 106 V/m, the dielectric strength for air?

Problem 7: The formula for the molecular polarizability a = 4reg R of a metal sphere is useful for estimating the polarizability of an atom or molecule if Ris taken to be its radius. (a) Use this to estimate the molecular polarizability of hydrogen. (b) What is the induced dipole moment (in Debyes) if the electric field is 3 x 106 V/m, the dielectric strength for air?

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Consider an infinitely long wire of charge carrying a positive charge density of A. The electric field due to λ this line of charge is given by E= 2kef= -, where is a unit vector directed radially outward Σπερμ from the infinitely long wire of charge. Hint #3 a. Letting the voltage be zero at some reference distance (V(ro) = 0), calculate the voltage due to this infinite line of charge at some distance r from the line of charge. Give your answer in terms of given quantities (A,ro,r) and physical constants (ke or Eo). Use underscore ("_") for subscripts and spell out Greek letters. Hint for V(r) calculation 3 V(r) = b. There is a reason we are not setting V(r → ∞o) = 0 as we normally do (in fact, in general, whenever you have an infinite charge distribution, this "universal reference" does not work; you need a localized charge distribution for this reference to work). Which of the following best describes what happens to potential as roo? (That is, what is V(ro), with our current…