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If the electric field in a region is giv...

If the electric field in a region is given as `E=y^(2)hati+2xyhatj` and the potential is assumed `4` Volts at the origin, find the potential, in Volts, at the point `(2,1,9)`. All values are in SI units.

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The correct Answer is:
2
`V_((0,0,0))-V_((2,1,9))=int_((0,0,0))^((2,1,9)) y^(2)dx+2xydy=int_((0,0,0))^((2,1,9)) d(xy^(2))`
`=xy_(("0,0,0"))^(2^(("2,1,9")))=2`
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