In a certain region of space, the electric potential is V(x,y,z)=Axy−Bx2+Cy, where A,BandC are positive constants. At which points is the electric field equal to zero?
A
x=+C/A,y=+BC/A2, any value of z
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B
x=+C/A,y=+2BC/A2, any value of z
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C
x=−C/A,y=−2BC/A2, z=0
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D
x=−C/A,y=−2BC/A2, any value of z
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Solution
The correct option is Dx=−C/A,y=−2BC/A2, any value of z →E=−▽V=−[(Ay−2Bx)^i+(Ax+C)^j]