Two point charges lie on the x axis. a charge of 6.4 μc is at the origin, and a charge of -9.5 μc is at x=10.0cm.
a) what is the net electric field at x=−4.0cm? (n/c? )
b)what is the net electric field at x=+4.0cm? (n/c? )

a)    ,at x = −4.0cm

b),  at x=10.0cm

Explanation:

To solve this problem we apply the theory of the magnetic field:

Formula to calculate the magnetic field (E) at a point P due to an electric charge(q):

   Formula (1)

K: Coulomb constant in

q= Electric charge in Coulombs( C)

d= Distance from location of q to point P in meters (m)

Concepts that we must take into account

:

1μC=

1cm=

Problem development

Case a) calculation of the net electric field at x = −4.0cm

Data:

q1=6.4μC =, q2=-9.5μC =

,  

Ep=E1+E2 : Total electric field at point P

We use formula 1 to calculate the electric field:

Ep= + : If we factor K and replace the data, then:

:if we use factor  ,then:

Case b) calculation of the net electric field at x = +4.0cm

Data:

q1=6.4μC =, q2=-9.5μC =

,  

Ep=E1+E2 : Total electric field at point P

We use formula 1 to calculate the electric field:

Ep= + : If we factor K and replace the data, then:

: If we factor ,then:

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement