If potential in a region is expressed as V (xyz) = 6xy - y + 2yz , the electric field at point (1,1,0) is ??
Answer (1)
9th Jul, 2020
Hi Swagata,
It is given that, V = 6xy − y + 2yz
E = [ (∂V/∂x) i + (∂V/∂y) j + (∂V/∂z) k]
E = − { (∂/∂x) [6xy − y + 2yz] i + (∂/∂y) [6xy − y + 2yz] j + (∂/dz) [6xy − y + 2yz) k}
= − { (6y) i + (6x − 1 + 2z) j + (2y) k}
E(1,1,0) = −{ (6x1) i + (6 × 1 − 1 + 2 × 0) j + (2 × 1) k]
=− (6i + 5j + 2k)
Feel free to ask doubts in the Comment Section.
I hope this information helps you.
Good Luck!
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