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The electric field in a region is given ...

The electric field in a region is given by `vecE = (A/x^3) vecI.` Write a suitable SI unit for A. Write an experssion for. the potential in the region assuming the potential at. infinity to be zero.

Text Solution

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As `E = A // x^3`, potential in the region is
`V = - underset(oo) overset(x)(int) vec(E) . vecd x = - underset(oo) overset(x)int (A/(x^3) i). (dx i)`
=`-A underset(oo) overset(x)int x^-3 d x = -A [ (x^-2)/(-2)]_oo^x = A/(2 x^2)`.
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