# T06 - TUTORIAL 6 1. (SADIKU review question 5.8) The...

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1 TUTORIAL 6 1. (SADIKU review question 5.8) The uniform field directions shown in the figure below are between two different LIH media. Assuming that the boundary is charge free, and ! 2 1 > , which configurations are correct? z y 1 2 z y 1 2 z y 1 2 D 1 D 1 D 1 D 2 D 2 D 2 z y 1 2 z y 1 2 z y 1 2 E 1 E 1 E 1 E 2 E 2 E 2 2. Derive Laplace’s equation starting from div J = 0. 3. In Lectures, we derived the capacitance of a cylindrical capacitor using two methods. In this problem you are to solve the same problem via a third method. Use the formula for electrostatic potential energy to derive the capacitance. 4. (SADIKU p. 233, practice exercise 6.3) Two conducting plates of size 1 m ! 5 m are inclined at 45° to each other with a gap of width 4 mm separating them as shown in the diagram. Determine an approximate value for the charge per plate and the capacitance between the plates if the plates are maintained at a potential difference of 50 V. Assume that the medium between them has 0 5 . 1 = . [Hint: Approximate the potential by assuming that the plates are of semi-infinite dimension, and solving Laplace’s equation in cylindrical coordinates.]

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2 gap width 4mm 45 ° 1m 5. (SADIKU p.257, example 6.8 and practice exercise 6.8) (a) A flat metal bar of conductivity ! is bent to form a flat 90° sector of inner radius a , outer radius b , and thickness t . Find the resistance of the bar between the vertical curved surfaces at a = and b = , and the resistance of the bar between the two horizontal surfaces z = 0 and z = t. (b) A disc of thickness t has radius b and a central hole of radius a . If the conductivity of the disc is , find the resistance between: (i) the hole and the rim of the disc; (ii) the two flat sides of the disc. 6. (SADIKU p.284, problem 6.31) A coaxial cable contains an insulating material of dielectric constant r = 3.5. The radius of the central wire is 1 mm while that of the sheath is 2mm. Find the capacitance per kilometre of the cable. 7.
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## This homework help was uploaded on 04/17/2008 for the course ELEC 3305 taught by Professor - during the Spring '07 term at University of West Alabama-Livingston.

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T06 - TUTORIAL 6 1. (SADIKU review question 5.8) The...

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