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## Homework Statement

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

a)4

**i**+3

**j**

b)4

**i**+8

**j**

c)8

**i**+4

**j**

d)-8

**i**+4

**j**

## Homework Equations

## The Attempt at a Solution

Since its an equipotential line, the electric field vector should perpendicular to this line. Therefore, the slope of line perpendicular to y=2x is -1/2. The equation should be y=[itex]\frac{-1}{2}[/itex]x+k, where k is any constant. Now i am stuck, can somebody help me proceed in the right direction?