The electric potential in the region of space is given by: V(x)=A+Bx+Cx2 , where v is volts, x is in meters and A,B,C are constants. Then,

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E→ varies linearly with x

The unit of E→ is N/C.

E→ is in the negative x-direction.

The electric field E→ in this region is constant.

answer is A.

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Detailed Solution

E=−(dV/dx)=−B−2Cx i.e., E varies linearly with x and is along negative x-direction. It is also clear that B has dimensions or units of E, i.e., NC−1

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