Question

A conducting spherical shell of inner radius a= 50.0 cm and outer radius b= 60.0 cm has a net charge Q1= -7.00 μC. A second larger conducting shell of inner radius c= 70.0 cm and outer radius d= 80.0 cm has a net charge of Q2= +3.00 μC, and it is concentric with the first shell as shown in the figure to the left. What is the magnitude and direction of the electric field as a function of distance from the center of the spherical shells?

A conducting spherical shell of inner radius a 50.0 cm and outer radius b 60.0 cm has a net charge Q1 -7.00 uc. A second larger conducting shell of inner radius c*70.0cm and outer radius d- 80.0 cm has a net charge of Q2 t3.00 uc, and it is concentric with the first shell as shown in the figure to the left. What is the magnitude and direction of the electric d field as a function of distance from the center of the spherical shells?

Answer 1

Electric field at a = zero as there is no charge inside the inner shell.

Electric field at b = kQ₁/0.60 = -9*10⁹*7*10^-6/0.60 = -1.05*10⁵ N/C

Electric field at c = kQ₁/0.70 = -9*10⁹*7*10^-6/0.70 = -9*10⁴ N/C

Electric field at d = k(Q₁+Q₂)/0.80 = -9*10⁹*4*10^-6/0.80 = -4.5*10⁵ N/C

-ve sign shows that the direction of fields are radially inward