Question

2) In figure, a top view of a solid conducting cylinder with radius a - 1 em, whose center is at the origin of the coordinate system and +z axis is towards out of page. It is concentric with a hollow cylindrical conductor of inner radius b 3 cm and outer radius c 5 cm. Both cylinders have L-5 m lengths which can be assumed to be infinitely long since L > c. The solid cylinder has total net charge of Q1-5 C. The hollow cylinder has net charge Q2-.10 μC. Assume that the voltage at the radial distance ρ-5 cm, is given as V-10 Volts. Between the conductors, there is a dielectric with dielectric constant (relative permittivity) of &, 3, and the outermost region is free-space. a) Sketch the free charge distributions on both objects. Use 3D figures. b) What are the magnitude of electric field intensity vectors at the radial distances of p 0.5, 2, 4.5 and 6 cm? c) what are the voltage values at" 1, 2, 4.5 and 6 cm? (For this question, you can directly use the expression of electric field intensity vector for infinitely long line given in lecture without any derivation).

Answer 1

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