Two point charges are placed on the x axis.(Figure 1 above) The first charge, q

Question

Two point charges are placed on the x axis.(Figure 1 above) The first charge,  q1=  9.5 nC  , is placed a distance x1=  14 m   from the origin along the positive x axis; the second charge, q2= 4.5 nC , is placed a distance x2= 9.0 m from the origin along the negative x axis.

Find the electric field at the origin, point O. Give the x and y components of the electric field as an ordered pair. Express your answer in newtons per coulomb to three significant figures. Keep in mind that an x component that points to the right is positive and a y component that points upward is positive.

Now, assume that charge q2 is negative; q2=?4.5 nC . (Figure 2 above) What is the net electric field at the origin, point O? Give the x and y components of the electric field as an ordered pair. Express your answer in newtons per coulomb to three significant figures. Keep in mind that an x component that points to the right is positive and a y component that points upward is positive.

Explanation / Answer

E1x = - k*Q1/x1^2

E1y = 0

E2x = k*Q2/x1^2

E2y = 0

Enet = E1x + E2x = -k*Q1/x1^2 + k*Q2/x2^2

Enet = -(9*10^9*9.5*10^-9)/14^2 + (9*10^9*4.5*10^-9)/9^2

Enet = (0.064 , 0)

+++++++++

E1x = - k*Q1/x1^2

E1y = 0

E2x = -k*Q2/x1^2

E2y = 0

Enet = E1x + E2x = -k*Q1/x1^2 - k*Q2/x2^2

Enet = -(9*10^9*9.5*10^-9)/14^2 - (9*10^9*4.5*10^-9)/9^2

Enet = (-0.936 , 0)

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