A uniformly charged conducting sphere of 1.2 m diameter has a surface charge density of 7.1 µC/m2. (a) Find the net charge in coulombs on the sphere. (b) What is the total electric flux leaving the surface of the sphere?

(a) Multiply the surface charge density by the sphere area, 4 pi R^2 = pi D^2 = 4.52 m^2.

(b) Use Gauss' Law.
Total flux out = Q/epsilono

The units are (Newtons/Coulomb)* m^2

epsilon0 = 8.85*10^-12 C^2/n*m^2

To find the net charge on the sphere, you need to calculate the total charge accumulated on its surface. The formula used to calculate the charge on a uniformly charged object is:

Charge = Surface Area × Surface Charge Density

(a) Net charge on the sphere:
First, you need to find the surface area of the sphere. The surface area of a sphere can be calculated using the formula:

Surface Area = 4πr^2

Given that the diameter of the sphere is 1.2 m, the radius (r) can be calculated as half of the diameter:

r = 1.2 m / 2 = 0.6 m

Using this value of the radius, you can now calculate the surface area:

Surface Area = 4π(0.6 m)^2

Next, substitute the given surface charge density into the formula to find the net charge on the sphere:

Charge = Surface Area × Surface Charge Density

(b) To find the total electric flux leaving the surface of the sphere, you can use Gauss's Law. Gauss's Law states that the total electric flux through any closed surface is directly proportional to the charge enclosed by that surface:

Electric Flux = (Net Charge Enclosed) / ε0

The electric flux can then be calculated using the following steps:

1. Calculate the radius of the sphere using the given diameter: r = diameter / 2.
2. Calculate the surface area of the sphere: Surface Area = 4πr^2.
3. Determine the net charge on the sphere using the Surface Area and Surface Charge Density from part (a).
4. Calculate the electric flux using Gauss's Law formula.

Substituting the values into the formula will give you the total electric flux leaving the surface of the sphere.