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Math · Advanced Math
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5. Prove the identiti if f is a scalar field which only depends on r, the distance from the origin. 5 marks (ii) An atom consists of a positively charged nucleus at the centre, sur- rounded by a cloud of negative electrons. The electric potential in an atom is found to be o(r)-49e, (1 + 2a) where r is the distance from the origin, a,C) and e are constants Calculate the electric field, E of the atom 6 marks iii) Calculate the charge density, when r 0 8 marks (iv) Calculate the charge of the nucleus, and the charge of the entire atom. Hint: Use Gausss Law. 6 marks

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