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Q.

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 :

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a

-6i^+6j^+k^

b

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

c

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

d

-2i^+3j^+k^

answer is C.

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Detailed Solution

E→=-∂V∂xi^-∂V∂yj^-∂V∂zk^ E→=-(6y) i^-(6x-1+2z) j^-(2y)k^at point (1, 1, 0)E→=-6 i^-5 j^-2k^=-6 i^+5 j^+2k^
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