Q5 Suppose the electric field in some region is found to be E = kr³ in spherical co- ordinates (k is a constant with appropriate units). Find the total charge contained in a sphere of R centered at the origin.

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Q5 Suppose the electric field in some region is found to be E = kr³ in spherical co-
ordinates (k is a constant with appropriate units). Find the total charge contained in a sphere
of R centered at the origin.
(i)
(ii)
(iii)
(iv)
Qenc = 4πE KR5
Qenc
Qenc = 58 kr²
0
=
12лE¸kR²
Transcribed Image Text:Q5 Suppose the electric field in some region is found to be E = kr³ in spherical co- ordinates (k is a constant with appropriate units). Find the total charge contained in a sphere of R centered at the origin. (i) (ii) (iii) (iv) Qenc = 4πE KR5 Qenc Qenc = 58 kr² 0 = 12лE¸kR²
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