Question

A point charge q1q1q_1 = 4.10 nCnC is located on the
*x*-axis at xxx = 2.15 mm , and a second point charge
q2q2q_2 = -6.85 nCnC is on the *y*-axis at yyy = 1.30 mm
.

a)What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r2r2r_2 = 1.50 mm ?

b)What is the total electric flux due to these two point charges through a spherical surface centered at the origin and with radius r3r3r_3 = 2.50 mm ?

Answer #1

**part A)**

**using Gauss' law
The total electric flux through the sperical surface with radius r2
= 1.50 m ,**

**phi_E = Qin/epsilon**

**= q2/epsilon (since Qin = q2)**

**= -6.85*10^-9/(8.854*10^-12)**

**= -774 N.m^2/C
<<<<<<<<-------------Answer**

**part B)**

**The total electric flux through the sperical surface
with radius r3 = 2.50 m ,**

**phi_E = Qin/epsilon**

**= (q1 + q2)/epsilon (since Qin = q1 + q2)**

**= (4.1*10^-9 - 6.85*10^-9)/(8.854*10^-12)**

**= -310 N.m^2/C
<<<<<<<<-------------Answer**

**we have solved this problem using Gauss' law.
Gauss' law: The net elctric flux through any closed surafec is
equal to i/epsilon times of the charge enclosed by the closed
surface.**

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