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Question

# In a certain region the electric potential at a point (x,y,z) is given by the potential function V=2x+3y−z. Then the electric field in this region will :increase with increase in x and yincrease with increase in y and zincrease with increase in z and xremain constant

A
increase with increase in x and y
B
increase with increase in z and x
C
increase with increase in y and z
D
remain constant
Solution
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#### V=2x+3y−zEx=−dVdx=−2,Ey=−dVdy=−3 and Ez=−dVdz=1As the field components are independent of x,y and z so the field remains constant.

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