Respuesta :

Answer:

potential energy at origin is [tex]2.57*10^{6} volt[/tex]

Explanation:

given data:

electric field E = 5*10^{6} N/C

at x = 43 cm, y = 28 cm

distance btween E and origin

[tex]\Delta r = \sqrt{43^2 +28^2}[/tex]

[tex]\Delta r = 51.313 cm[/tex]

potential energy per unit charge [tex]\Delta V = - Edr[/tex]

[tex]\Delta V = 5*10^6*51.313*10^{-2} J/C[/tex]

[tex]\Delta V  =  2.57*10^{6} volt[/tex]

potential energy at origin is 2.57*10^{6} volt