Question

A point charge *q*1 = 3.65 nC is located on the
*x*-axis at *x* = 2.30 m , and a second point charge
*q*2= -6.10 nC is on the *y*-axis at *y* =
1.30 m.

(a) What is the total electric flux due to these two point
charges through a spherical surface centered at the origin and with
radius *r*1 = 0.435 m ?

(b) What is the total electric flux due to these two point
charges through a spherical surface centered at the origin and with
radius *r*2 = 1.65 m ?

(c) What is the total electric flux due to these two point
charges through a spherical surface centered at the origin and with
radius *r*3 = 2.45 m ?

Answer #1

a)

So, for a spherical surface of radius r1 = 0.435 m, there is no
charge enclosed by the surface. So,

q_{enclosed} = 0. So,

b)

For a spherical surface of radius r2 = 1.65 m,
ther charge enclosed by the surface is,

q_{enclosed} = q2= -6.10 nC. So,

c)

For a spherical surface of radius r3 = 2.45 m, ther
charge enclosed by the surface is,

q_{enclosed} = q1+q2=3.65 - 6.10 = - 2.45 nC. So,

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