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The potential in an electric field varies as (V= (x^2-y^2 ) ). The electric lines of the force in (X-Y ) plane are

Correct answer

2

Step-by-step solution

The potential in an electric field varies as, (V= (x^2-y^2 ) ) ( ) Electric field, ( aligned E & =- [ d v d x i + d v d y j ] [ E= V] & =- [ d d x (x^2-y^2 ) i + d d y (x^2-y^2 ) j ] E & =-[2 x i -2 y j ] E=-2 x i +2 y j aligned ) Expression of the electric field is linear equation in two variables, i.e. straight lines in (X-Y ) plane and slope having (45^ , 35^ ) etc. Hence, the option (c), represents correct graph.

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