A point charge q_1 = 6.6 mu C is located at the center of a thick conducting she

Question

A point charge q_1 = 6.6 mu C is located at the center of a thick conducting shell of inner radius a = 2.6 cm and outer radius b = 4.1 cm. The conducting shell has a net charge of q_2 = 1.3 mu C. What is E_x(P), the value of the x-component of the electric field at point P. located a distance 7.8 cm along the x-axis from q_1? N/C What is E_y(P) the value of the y-component of the electric field at point P. located a distance 7.8 cm along the x-axis from q_1? N/C What is E_x(R), the value of the x-component of the electric field at point R. located a distance 1.3 cm along the y-axis from q_1? N/C What is E_y(R). the value of the y component of the electric field at point R. located a distance 1.3 cm along the y-axis from q_1? N/C What is sigma_b the surface charge density at the outer edge of the shell? C/m^2 What is sigma_a the surface charge density at the inner edge of the shell? C/m^2 For how many values of x: (4.1 cm

Explanation / Answer

1)Ep = k (q1+q2)/r^2

Ep-x = 9 x 10^9 x 10^-6 (-6.6 + 1.3)/0.078^2 = -7.84 x 10^6 N/C

Hence, Ep-x = - 7.84 x 10^6 N/C

2)Ep-y = 0

3)Ex(R) = 0

4)Ey(R) = 0

[Epy = Ex(R) = Ey(R) = , since the field inside any conductor is zero]

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