A point charge q 1 = -8.6 C is located at the center of a thick conducting shell
ID: 1878629 • Letter: A
Question
A point charge q1 = -8.6 C 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 = 2.1 C.
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
2-What is Ey(P), 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?
3-What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.4 cm along the y-axis from q1?
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?
5-What is b, the surface charge density at the outer edge of the shell?
6-What is a, the surface charge density at the inner edge of the shell?
7-For how many values of x: (4.1 cm < x < infinity) is it true that Ex = 0?
8-Define E2 to be equal to the magnitude of the electic field at r = 1.4 cm when the charge on the outer shell (q2) is equal to 2.1 C. Define Eo to be equal to the magnitude of the electric field at r = 1.4 cm if the charge on the outer shell (q2) were changed to 0. Compare E2 and Eo.
E2 < Eo
E2 = Eo
E2 > Eo
Explanation / Answer
1)
At point P,
Ex(P) = k x (q1 + q2)/d^2
Ex(P) = 9 x 10^9 x 10^-6 *(-8.6 + 2.1)/0.071^2
Ex(P) = - 1.16 x 10^7 N/C
2)
Since direction of electric field is radially inwards, so
Ey(P) = 0 N/C
3)
At point R, direction of electric field is radial,
Ex(R) = 0 N/C
4)
Ey(R) = 9 x 10^9 x (-8.6 x 10^-6)/0.014^2
Ey(R) = -3.95 x 10^8 N/C
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