(10%) Problem 8: The electric potential near a hydrogen atom can be modeled as t
ID: 1881879 • Letter: #
Question
(10%) Problem 8: The electric potential near a hydrogen atom can be modeled as the equation to the right where ao is the Bohr radius and q is the charge on the central proton V Randomized Variables Otheexpertta.com 33% Part (a) Find an expression for the -component of the electric field, E0 Eo 0 Correct 33% Part (b) Find an expression for the -component (azimuthal) of the electric field. EpCorrect! > 33% Part(c) What is the change in the magnitude of the electric field (in N/C) f a test point moves from the position x = m2a) 0,2-0 to position (x-n'ao, y 0,z-0) Grade Summary Deductions Potential 0% 100%Explanation / Answer
theta and phi are angles that help in resolving a vector from polar to rectangular form
Here they aren't needed as the equation is independent of them. Hence, their component is 0. However, it is dependent on x.
The x component hence will be equal to position vector r
substitute in the equation to get
change in E = kq/a x [e^(-2n2)(1+1/n2) - e^(-2m2)(1+1/m2) ]
= 9x 10^9 x 1.6 x 10^-19 / (0.53 x 10^-10) x [e^(-2n2)(1+1/n2) - e^(-2m2)(1+1/m2) ]
= 27.17 x [e^(-2n2)(1+1/n2) - e^(-2m2)(1+1/m2) ]
= 27.17 x [e^-52 - e^-4]
= 27.17 x (-0.0183)
= -0.498 N/C
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