Q.

The equation of an equipotential line in an electric field is y = 2x, then the electric field Strength vector at (1, 2) may be

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a

4i^+3j^

b

4i^+8j^

c

8i^+4j^

d

−8i^+4j^

answer is D.

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Detailed Solution

Field lines will be perpendicular to equipotential surface . Slope of equipotential surface m1=2 and slope of electric field lines is m2 .therefore m1×m2 =-1  ⇒m2 = -12 .
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The equation of an equipotential line in an electric field is y = 2x, then the electric field Strength vector at (1, 2) may be