1.

An electric field is given by `E_(x) = - 2x^(3) kN//C`. The potetnial of the point `(1, -2)`, if potential of the point `(2, 4)` is taken as zero, isA. `-7.5 xx 10^(3) V`B. `7.5 xx 10^(3) V`C. `-15 xx 10^(3) V`D. `15 xx 10^(3) V`

Answer» Correct Answer - A
`dV = - vecE.vecdr = - (-2x^(3)hati).(dxhati + dyhatj + dz hatk) = 2x^(3) dx`
`rArr underset(0)overset(v)int dV = underset(2)overset(1)int (2x^(3)) xx 10^(3) dx`
`V = - 7.5 xx 10^(3) V`


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