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Q.

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

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a

(2ı^+3ȷ^+k^)

b

(6ı^+5ȷ^+2k^)

c

(3ı^+5ȷ^+3k^)

d

(6ı^+9ȷ^+k^)

answer is A.

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Detailed Solution

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Potential in a region 

V=6xyy+2yz

As we know the relation between electric potential and electric field is E=dVdx

E=Vxl^+Vyj^+Vzk^E=[6yi^+(6x1+2z)ȷ^+(2y)k^]E(1,1,0)=(6i^+5j+2k^)

 

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