Two Point Charges Two point charges are placed on the x axis (Figure 1) The firs

Question

Two Point Charges Two point charges are placed on the x axis (Figure 1) The first charge, q_1 = 8.00 nC, is placed a distance 16.0 m from the origin along the positive x axis; the second charge, q_2= -6.00 nC, is placed a distance 9.00 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 q_2 is negative; q_2 = -6 nC. (Figure 2) 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

A)
E due to q1 will be in negative x direction
E due to q2 will be in positive x direction

Ex = |E2| - |E1|
= K*q2/r2^2 - K*q1/r1^2
= (9*10^9 * 6*10^-9 / 9^2) - (9*10^9 * 8*10^-9 / 16^2)
=0.667 -0.281
= 0.386 N/C

in y direction Ey = 0

Answer: 0.386,0 N/C

B)
E due to q1 will be in negative x direction
E due to q2 will be in NEGATIVE x direction

Ex = -|E2| - |E1|
= -K*q2/r2^2 - K*q1/r1^2
= -(9*10^9 * 6*10^-9 / 9^2) - (9*10^9 * 8*10^-9 / 16^2)
= -0.667 -0.281
= 0.948 N/C

in y direction Ey = 0

Answer: 0.948,0 N/C

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