A point charge q 1 = 3.20 nC is located at the x -axis at x = 2.00 m, and a seco

Question

A point charge q1 = 3.20 nC is located at the x-axis at x = 2.00 m, and a second point charge q2 = -5.60 nC is on the y-axis at y = 1.00 m. What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with the following radius?

A point charge q1 = 3.20 nC is located at the x-axis at x = 2.00 m, and a second point charge q2 =-5.60 nC is on the y-axis at y = 1.00 m, what is the total electric flux due to these two point charges through a spherical surface centered at the origin and with the following radius? (a) 0.500 m N m2/c (b) 1.50 m N m2/c (c) 2.50 m N m2/c

Explanation / Answer

Total Electric Flux, = Q /0

1) r = 0.5 m

No charge is enclosed because 0.5<1<2.

So, = 0 Nm^2/C

2) r = 1.5 m

q2 will be enclosed as 1<1.5<2

Charge enclosed = - 5.60 nC
= Q /0

    = - (5.60 x 10^-9) / (8.854 x 10^-12)
    = - 632.5 Nm^2/C
Negative sign indicate flux enters the surface.

3) r =2.5 m

both q1 & q2 will be enclosed as 2.5>2>1

Charge enclosed = [3.20 - 5.60] nC = - 2.4 nC

= Q /0

    = - (2.4 x 10^-9) / (8.854 x 10^-12)
    = - 271.1 Nm^2/C

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