Question

Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols and operations used. Describe one application of Gauss' law. 15% (ii) A very long wire carrying electric charge with uniform line charge density is located in free space. Applying Gauss' law, derive the E-field due to this wire. Clearly explain every step of your derivation and the assumptions you take. 40% Find the magnitudes of the strength E and flux density (displacement field) D of the E- field due to the wire at a point located a distance r 50 cm from the wire if the length of the wire is L = 2 m and the charge is q = 0.5 nC. (iii) The following set of charges is located in free space: 15% Number and type of charge I #1 , point charge #2, point charge Charge Location (3,3, 1 m -2 nC 1 nC (3, 3, -2) m (2,-1,-2) m (-1,2,-2) m #3, point charge -3 nC #4, pointcharge 2 nC what is the total electric flux passing through a sphere with radius R = 4 m centred on the origin? What principle of Electromagnetics do you use to obtain the answer? tis he deri hrges int(u) f t 30% question?

Answer 1

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