pit3ior 1oP the Electrnc theld inside the volume at a distance r from the axis o
ID: 1584779 • Letter: P
Question
pit3ior 1oP the Electrnc theld inside the volume at a distance r from the axis of the cylinder in terms of the charge density p. (b) What is the electric field at a point outside the volume in terms of the charge per unit length in the cylinder. (c) Compare the answers to parts (a) and (b) for r = R. (d) Grapl the electric-field magnitude as a function of r from r=0 t r = 3R. 22.4 A small sphere with a mass Figure 22.37 of 0.002 g and carrying a charge Problem 22.41. of 5.00 × 10-1 C hangs from a thread near a very large, charged insultating sheet, as shown in Fig. 22.37. The charge density on the sheet is 2.50 × 10-9 c/. Find the angle of the thread. 22.42. A Sphere in a Sphere. A solid conducting sphere carry- ing charge q has radius a. It is inside a concentric hollow con- ducting sphere with inner radius bExplanation / Answer
22.41)Given,
m = 0.002 g = 2 x 10^-6 kg ; Q = 5 x 10^-8 C ; sigma = 2.5 x 10^-9 C/m^2
we need to find angle theta.
let T be the tension in the thread.
In vertica direction:
T sin(theta) = q E
E = sigma/2 e0
T sin(theta) = q sigma/2 e0 (1)
In horizontal direction:
T cos(theta) = mg (2)
Dividing (1)/(2)
T sin(theta)/T cos(theta) = q sigma/2 e0 mg
tan(theta) = q sigma/2 e0 mg
theta = tan^-1(q sigma/2 e0 mg)
theta = tan^-1(5 x 10^-8 x 2.5 x 10^-9/(2 x 8.85 x 10^-5 x 2 x 10^-6 x 9.81))= 19.8 deg
Hence, theta 19.8 deg
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