Four point charges are arranged in the configuration below. Each grid unit is 1
ID: 251659 • Letter: F
Question
Four point charges are arranged in the configuration below. Each grid unit is 1 m.
1) What is the direction of the FORCE that the -2mC charge exerts on the 4mC at the origin?
+x-direction
+y-direction
-x-direction
-y-direction
the force is zero
2) What is the magnitude of the FORCE that the -2mC charge exerts on the 4mC at the origin?
.0045 N
.0085 N
.0125 N
.0175 N
0 N
3) What is the direction of the FORCE that the -2mC charge AND the +2mC exert on the 4mC at the origin?
+x-direction
+y-direction
-x-direction
-y-direction
the force is zero
4) What is the magnitude of the FORCE that the -2mC charge AND the +2mC exert on the 4mC at the origin?
.0023 N
.0090 N
.015 N
.021 N
0 N
5) Calculate the x-component of the net electric field at (0,2) due to the four charges shown.
Ex = 3.9 × 103 N/C
Ex = 1.6 × 103 N/C
Ex = -3.9 × 103 N/C
Ex = -1.6 × 103 N/C
Ex = 0 N/C
6) Calculate the y-component of the net electric field at (0,2) due to the four charges shown.
Ey = -3.9 × 103 N/C
Ey = 8.1 × 103 N/C
Ey = 3.9 × 103 N/C
Ey = -8.1 × 103 N/C
Ey = 0 N/C
Explanation / Answer
1) The direction of the FORCE that the -2 microC charge exerts on the 4 microC at the origin is +x- direction
2) F=kq1q2/r^2 =(9*10^9*2*10^-6*4*10^-6)/16 =0.0045 N
3) The direction of the FORCE that the -2mC charge and the +2 microC exert on the 4 microC at the origin is +x-direction.
4) The magnitude of the FORCE that the -2mC charge and the +2mC exert on the 4mC at the origin is = F=2kq1q2/r^2 =(2*9*10^9*2*10^-6*4*10^-6)/16 =0.0090 N
5) The x-component of the net electric field at (0,2) due to the four charges
= 2Ecos(theta) =2*(kq/[sqrt(20)]^2)*(4/sqrt(20)) = +1.6 * 10^3 N/C
6) The y-component of the net electric field at (0,2) due to the four charges =0 N/C
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