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For each of the following charge distributions,state whether Gauss’ law could be

ID: 1679904 • Letter: F

Question

For each of the following charge distributions,state whether Gauss’ law could be used to

determine the electric field produced. IfGauss’ law could be used, state the coordinate system thatshould be used, the field vector components that would exist, andthe coordinate system vari­ables that the field is a functionof.


(d) A volumetric charge densityV=R^3 C/cubic meter for 2<R<3, and 0 otherwise, where R isthe spherical coordinate in meters.


Explanation / Answer

here even we can use gauss law to evaluate the E the E if exists is radial and away from the charge as the E is definite this became possible for R less than 2 the spherical imaginary surface include no chargeand hence E=0 for 3>r>2   4r6/6 betweenthe limits r and 2 is the this is the charge included inside hence E similarly for r>3

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