Question

Problem 1 In the figure shown below, a solid sphere of radius a 3.90 cm is concentric with a spherical conducting shell of inner radius b 2.00a and outer radius c 2.40a The sphere has a net uniform charge i- +6.70 fC; the shell has a net charge q2- 2 What is the magnitude of the electric field at radial distances (a)0 cm, (b) r - a/2.00, (c) r-a, (d) r-1.50a, (e) r 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? Problem 2 (a)What is the magnitude of an electron's acceleration in a uniform electric field of magnitude 1.87 x 106 N/C? (b)How long would the electron take, starting from rest, to attain 1/15-th the speed of light? c)How far would it travel in that time?

Answer 1

Problem 1: 42 4 42-6.7 fC Here we have qí--Q2-б.7/C-6.7 10-15 C a = 3.90 crn = 3.9 x 10-2 m b=2a=2×3.90 crn = 2 × 3.9 × 10-2 m = 7.8 m c-: 2.4a-2.4 x 3.90 cm-2.4 x 3.9 x 10-2 m 9.36 m Note: Charge - is induced on the inner surface of the conductor and the charge gh appears on the outer surface. (a) r 0 cm