Answered: Q2:A)Show that no work is done in… | bartleby

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Q4: Find the work done in moving a point charge Q=2 µC from the
origin to (2, z/4 ,a/2), spherical coordinates, in the field:
E= 5 e -r/4
a, + (10/rsin 0 )ao (V/m)

Q,:A)Show that no work is done in moving a 1 µc charge form the origin
to point (3,1,4)in an external electric field E = 7 a, +3 ay -6 a, V/m.

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5. The Poisson equation 8² + ax² ay² az² relates the electrostatic potential (r) = (x, y, z) to the charge distribution p(r) in vacuum. In partic- ular, when we are dealing with a point charge, we write this equation as 7²4 = | 8² əx² + 8² 8² əz² 2² + o(r) + G 5, 8) = - = 10² G(r, r') p(r) €0 -83) (r-r'), where r' = (x, y, z) is the position of the point charge, 63) (r - r') = 6(x − x')8(y - y')6(z - z') is the Dirac delta function in three-dimensional space. Solve for G(r, r') by performing a three-dimensional Fourier transform on the Poisson equation, followed by a three-dimensional inverse Fourier transform. You may use the result 00 sin id=
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