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. The electric potential of a hydrogen atom is modeled by the equation Vr) = q 2r do exp (1+ 4 pi to do do

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. The electric potential of a hydrogen atom is modeled by the equation Vr) = q 2r do exp (1+ 4 pi to do do where a0 is the Bohr radius of the atom and q is the charge of the proton. The electric field due to the hydrogen atom is assumed to be spherically symmetric . (A) Calculate the 0 (theta) component of the electric field (6 pts) . (B) Calculate the $ (phi) component of the electric field (6 pts) . (C) Calculate the r (radial) component of the electric field (6 pts) . (D) What is the change in the magnitude of the electric field if a test point moves from the position (7 pts) ( x = m do , y=0, z=0) to the position 9 / 12 ( x = n?do , y = 0, z=0)

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