ALL I REALLY NEED IS 48 BUT IF YOU DO THE REST THANK YOU VER

ALL I REALLY NEED IS #4-8. BUT IF YOU DO THE REST THANK YOU VERY MUCH TOO.

A point charge q₁ = -9.5 C is located at the center of a thick conducting shell of inner radius a = 2.4 cm and outer radius b = 4.1 cm, The conducting shell has a net charge of q₂ = 2.6 C.

1)

What is E_x(P), the value of the x-component of the electric field at point P, located a distance 8.6 cm along the x-axis from q₁?

N/C

2)

What is E_y(P), the value of the y-component of the electric field at point P, located a distance 8.6 cm along the x-axis from q₁?

N/C

3)

What is E_x(R), the value of the x-component of the electric field at point R, located a distance 1.2 cm along the y-axis from q₁?

N/C

4)

What is E_y(R), the value of the y-component of the electric field at point R, located a distance 1.2 cm along the y-axis from q₁?

N/C

5)

What is _b, the surface charge density at the outer edge of the shell?

C/m²

6)

What is _a, the surface charge density at the inner edge of the shell?

C/m²

7)

For how many values of x: (4.1 cm < x < infinity) is it true that E_x = 0?

none

one

more than one

8)

Define E₂ to be equal to the magnitude of the electic field at r = 1.2 cm when the charge on the outer shell (q₂) is equal to 2.6 C. Define E_o to be equal to the magnitude of the electric field at r = 1.2 cm if the charge on the outer shell (q₂) were changed to 0. Compare E₂ and E_o.

E₂ < E_o

E₂ = E_o

E₂ > E_o

Solution

(1)

charge enclosed:

    Q = q1 + q2 = -9.5 C + 2.6 C = -6.9 C

the x-component of the electric field at point P:

    Ex = kQ/x^2 = (9x10^9)(-6.9x10^-6) / (0.086)^2 = -8.4e+6 N/C

(2)

the y-component or vertical component of the electric field at point P

is zero becuse it is pointed on the x-axis.

(3)

the x-component or vertical component of the electric field at point R

is zero becuse it is pointed on the y-axis.

(4)

the y-component or vertical component of the electric field at point R is

     Ey = kq1/y^2 = (9x10^9)(-9.5x10^-6) / (0.012)^2 = -5.94e+8 N/C

*********remaining options are upload seperately