ElectrostaticsHard

Question

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

Options

A.4î + 3ĵ
B.4î + 8ĵ
C.8î + 4ĵ
D.- 8î + 4ĵ

Solution

Equipotential lines are always ⊥r to the electric field strength lines.
∵ slope of equipotential lines = 2
∴ Slope of electric field must be = - 1/2
⇒ Electric field strength vector = - 8î + 4ĵ

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