A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spheric
ID: 1982800 • Letter: A
Question
A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b = 3.20 cm and outer radius c = 3.70 cm. The inner sphere has a net charge of Q1 = 3.70 C, and the outer spherical shell has a net charge of Q2 = -8.20 C.
A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b = 3.20 cm and outer radius c = 3.70 cm. The inner sphere has a net charge of Q1 = 3.70 ?C, and the outer spherical shell has a net charge of Q2 = -8.20 ?C. Part 1: What is the radial component of the electric field Er at a point located at radius r = 2.90 cm, i.e. between the two conductors? Er is positive if it points outward, negative if it points inward. Part 2: What is Er at a point located at radius r = 4.10 cm, i.e. outside the outer shell? Part 3: What is the surface charge density, ?b, on the inner surface of the outer spherical conductor? Part 4: What is the surface charge density, ?c, on the outer surface of the outer spherical conductor?Explanation / Answer
a) Radial Component = kQ1 / r^2 ( 9x10^9 * 3.20x10^-6 ) / (0.017m)^2 = 9.97E7 N/C b) Er at point located at radius r = 2.9cm ((Q1 + Q2) * K) / r^2 (((3.20+ (-8.3))x10^-6) * 9x10^9)/ (0.0290m)^2 -5.1x10^-6 * k / r^2 = -5.46 E7N/C c) -Q1 / (4pi*b^2) -3.2x10-6 / (4pi * (.02)^2) = -6.37 E-4 C/m^2 d) Q2-(-Q1) / (4pi * c^2) -5.1x10^-6 / (4pi* (0.025^2) = -6.49 E-4 C/m^2
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