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+1 vote
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in Physics by (35 points)
४. If potential (in volts) in a region is expressed as \( V(x, y, z)=6 x y-y+2 y z \), the electric field (in N/C) at point \( (1,1,0) \) is (a) \( -(2 \hat{i}+3 \hat{j}+\hat{k}) \) (b) \( -(6 \hat{i}+9 \hat{j}+\hat{k}) \) (c) \( -(3 \hat{i}+5 \hat{j}+3 \hat{k}) \) (d) \( -(6 \hat{i}+5 \hat{j}+2 \hat{k}) \) (2015)

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Answer: (d)

V ( x , y , z ) = 6 x y − y + 2 y z 

As we know that

the electric field become

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