1) is not -5.324E6 A point charge q,--5.3 is located at the center of a thick co

Question

1) is not -5.324E6

A point charge q,--5.3 is located at the center of a thick conducting shell of inner radius a 2.1 cm and outer radius b = 4.2 cm, The conducting shell has a net charge of q2 1.1 O. 1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 7.1 cm along the x-axis from q1? N/C Submit 2) What is EyP), the value of the y-component of the electric field at point P, located a distance 7.1 cm along the x axis from q1? NC Submit Your submissions: 0 Computed value: 0 Feedback: Correct! Submitted: Monday, January 22 at 12:36 PM 3) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.05 cm along the y- axis from q1? N/C Submit Your submissions: Computed value: 0 Feedback: Correct! Submitted: Monday, January 22 at 12:36 PM 4) What is EyR), the value of the y-component of the electric field at point R, located a distance 1.05 cm along the y- axis from q1? 4542857.14 NC Submit 5) What is Og, the surface charge density at the outer edge of the shell? C/m2 Submit 6) What is a, the surface charge density at the inner edge of the shell? C/m2 Submit

Explanation / Answer

1) Ex(P) = k*(q1+q2)/rp^2

= 9*10^9*(-5.3 + 1.1)*10^-6/0.071^2

= -7.5*10^6 N/C

2) Ey(P) = 0

3) Ex(R) = 0

4) Ey(R) = k*q1/rR^2

= 9*10^9*(-5.3*10^-6)/0.0105^2

= -4.33*10^8 N/c

5) charge on the outer surface, q_out = -5.3 + 1.1

= -4.2 micro C

charge density on outer surface, sigma_out = q_out/(4*pi*b^2)

= -4.2*10^-6/(4*pi*0.042^2)

= -1.90*10^-4 C/m^2

6) charge on the inner surface, q_in = 5.3 micro C

charge density on inner surface, sigma_in = q_in/(4*pi*a^2)

= 5.3*10^-6/(4*pi*0.021^2)

= 9.56*10^-4 C/m^2

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