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Properties of Field Lines

If potential ...

Question

If potential (in volts) in a region is expressed as V(x , y , z) = 6xy - y+ 2yz, the electric field (in N/C) at point (1 , 1 , 0) is

- (2^i + 3^j +^k)

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- (6^i + 9^j +^k)

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- (3^i + 5^j + 3^k)

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- (6^i + 5^j + 2^k)

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Solution

The correct option is D $- (6^i + 5^j + 2^k)$
$\begin{matrix} A s w e l e a r n t i n I n s p a c e - E_{x} = \frac{- d v}{d x} E_{y} = \frac{- d v}{d y} E_{z} = \frac{- d v}{d z} T h u s, w e g e t t h e v a l u e i s - (6 ˆ i + 5 ˆ j + 2 ˆ k) O p t i o n D i s c o r r e c t . \end{matrix}$

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Similar questions

V (x, y, z) = 6 x y - y + 2 y z

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