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