A point charge q1 = -8.9 μC is located at the center of a thick conducting shell of inner radius a = 2.8 cm and outer radius b = 4.1 cm, The conducting shell has a net charge of q2 = 2.2 μC. 1)What is Ex(P), the value of the x-component of the electric field at point P, located a distance 8.5 cm along the x-axis from q1?N/C.

2)What is Ey(P), the value of the y-component of the electric field at point P, located a distance 8.5 cm along the x-axis from q1?__0__N/C.

3)What is Ey(P), the value of the y-component of the electric field at point P, located a distance 8.5 cm along the x-axis from q1?N/C

4)What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.4 cm along the y-axis from q1?N/C

5)What is σb, the surface charge density at the outer edge of the shell?___C/m2

6)What is σa, the surface charge density at the inner edge of the shell?C/m2

1) Ex(P) = -8.34602 N/C

2) = -5.23850174216 N/C

3) Question (3) is a similar question to (1)

4) = -5.23850174216 N/C

5) ≈ 1.041466 C/m²

6) σₐ ≈ 2.2330413 C/m²

Explanation:

The given parameter of the point charge located at the center of a conducting shell

The charge of the point charge, q₁ = -8.9 μC

The inner radius of the shell, a = 2.8 cm

The outer radius of the shell, b = 4.1 cm

The charge of the conducting shell, q₂ = 2.2 μC

Therefore, we have;

1) The point P(8.5, 0)

By plugging in the values, we have;

For

R₁ < R₂ < r, for the electric field at the point, 'P', we have;

Ex(P) = -8.34602 N/C

2) For the point given with coordinates (8.5, 0), the distance of the y-component of point from the center = 0

The y-component of the electric field = 0 N/C

4) For r = 1.4 cm, along the y-axis we have;

R₁ < r < R₂

Therefore, we have;

Substituting the values, we get;

= -5.23850174216 N/C

5) The charge density, , is given as follows;

6) Similarly, we have;

resonant frequency