I need answer to this question. no explanation needed i just need the answers. A

Question

I need answer to this question. no explanation needed i just need the answers.

A point charge q1 = -6.4 C is located at the center of a thick conducting shell of inner radius a = 2.7 cm and outer radius b = 4.2 cm, The conducting shell has a net charge of q2 = 1.4 C.

4)

What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.35 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

Explanation / Answer

4] By application of Gauss law,

E = k qenclosed /r^2

= 9e9*-6.4e-6/0.0135^2

= - 3.16*10^8 N/C

5] surface charge on inner sphere = negative of that at origin = 6.4 uC

so surface charge on outer sphere = 1.4-6.4 = -5 uC

charge density = -5e-6/[4 pi*0.042^2]

= -0.000226 C/m^2

6] charge on inner sphere = 6.4 uC

charge density = 6.4e-6/[4 pi*0.027^2]

= 0.000699 C/m^2

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