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Two thin, isolated, concentric conducting spheres of radii 9.40 cm and 11.60 cm

ID: 2135870 • Letter: T

Question

Two thin, isolated, concentric conducting spheres of radii 9.40 cm and 11.60 cm, have net charges of 32.00 nC and  23.00 nC, respectively. What is the electric field at 5.640 cm  from the center of the spheres? Use the sign of the field to indicate direction, thus a positive electric field would point away from the center of the spheres

What is the electric potential at  5.640 cm  from the center of the spheres?  

What is the electric field at  10.610 cm  from the center of the spheres?  

What is the electric potential at  10.610 cm from the center of the spheres?

What is the electric field at 17.710 cm  from the center of the spheres?

What is the electric potential at  17.71 cm  from the center of the spheres?

Explanation / Answer

R1 = 0.094 m, R2 = 0.116m

1) V = k*(q1+q2)/R2 = 4267 volts

2) at r=0.10610

E = k*q1/r^2 = 25583.6 N/C

3) V = k*(q1+q2)/R2 = 4267 volts ( inside conducting material V is constant)

4) at r = 0.1771 m

E = k*(q1+q2)/r^2 = 15782 N/C

5) at r = 0.1771 m

v = k*(q1+q2)/r = 2795 volts