Figure shows two equipotential lines in x, y plane for an electric field. The scales are marked. The x -component Ex and y -component Ey of the field in the space between these equipotential lines are respectively

Question

Figure shows two equipotential lines in x, y plane for an electric field. The scales are marked. The x -component Ex and y -component Ey of the field in the space between these equipotential lines are respectively (A) +100 V / m ,-200 V / m (B) -100 V / m ,+200 V / m (C) +200 V / m ,+100 V / m (D) -200 V / m ,-100 V / m

Tardigrade Admin · Accepted Answer

Ex=-(-2 V /-2 × 10-2 m )=-100 V m -1 Ey=-(-2 V /1 × 10-2 m )=200 V m -1

Q. Figure shows two equipotential lines in $x, y$ plane for an electric field. The scales are marked. The $x$ -component $E_{x}$ and $y$ -component $E_{y}$ of the field in the space between these equipotential lines are respectively

+100 V / m ,-200 V / m

-100 V / m ,+200 V / m

+200 V / m ,+100 V / m

-200 V / m ,-100 V / m

$E_{x} = - \frac{- 2 V}{- 2 \times 1 0 ^{- 2} m} = - 100 V m^{- 1}$
$E_{y} = - \frac{- 2 V}{1 \times 1 0 ^{- 2} m} = 200 V m^{- 1}$

Q. Figure shows two equipotential lines in x,y plane for an electric field. The scales are marked. The x -component Ex​ and y -component Ey​ of the field in the space between these equipotential lines are respectively