A point charge q 1 = -5.5 C is located at the center of a thick conducting shell

Question

A point charge q1 = -5.5 C is located at the center of a thick conducting shell of inner radius a = 2 cm and outer radius b = 4.1 cm, The conducting shell has a net charge of q2 = 2.9 C.

1)What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6.7 cm along the x-axis from q1?

=.....................N/C

2)What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1 cm along the y-axis from q1?

=.....................N/C

Explanation / Answer

(1) r=6.7 cm= 0.067 m

Qenclosed=-5.5+2.9=-2.6uC= -2.6x10-6 C

Ex= KQenc/r2

Ex=(8.89x109)(-2.6x10-6)/(0.067)2.

Ex=-5.15x106 N/c

(b) for y= 1cm=0.01 m, Charge enclosed= Qenc=-5.5x10-6C

Ey= KQenc/r2

Ey=(8.89x109)(-5.5x10-6)/(0.01)2.

Ey=-4.89x108N/c

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