Question

Concentric Cylindrical Conducting Shells

1

uter nner P(a0)

An infiinitely long solid conducting cylindrical shell of radius a = 4.8 cm and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density ?_inner = -0.35 ?C/m. Concentric with the shell is another cylindrical conducting shell of inner radius b = 17.1 cm, and outer radius c = 21.1 cm. This conducting shell has a linear charge density ? _outer = 0.35?C/m.

1)

What is E_x(P), the x-component of the electric field at point P, located a distance d = 9.7 cm from the origin along the x-axis as shown?

N/C

2)

What is V(c) – V(a), the potential difference between the the two cylindrical shells?

V

3)

What is C, the capacitance of a one meter length of this system of conductors?

?F/m

4)

The magnitudes of the charge densities on the inner and outer shells are now changed (keeping ?_inner = -?_outer) so that the resulting potential difference doubles (V_ca,new = 2V_ca,initial). How does C_new, the capacitance of a one meter length of the system of conductors when the charge density is changed, compare to C, the initial capacitance of a one meter length of the system of conductors?

C_new < C

C_new = C

C_new > C

5)

What is ?_outer,new ?

?C/m

Answer 1

vcn x da encleơ Ex(A) Eo 0.3 5 X10 E. 92222 NIC (2) in tu Rugion E-dh CA Vic) - V (a)00 V

<3J capa itan 0oo O ucni charge Cneuo c Sx10