TEST 1 BWC 21103 DURATION: ONE HOUR(ELECTROMAGNETISM)

Name:Matric Number: Date: 21 April 2015

Instruction: answer all (2) questions

1. (a) Vector A extends from the origin to the point (x, y, z) = (4, 5, 2) and vector B from the origin to the point (r, θ, z) = (6, 75o, 5).

(i) A× B (4 marks)

Answer:

TEST 1 BWC 21103 DURATION: ONE HOUR(ELECTROMAGNETISM)

(ii) Angle between A and B (2 marks)

Answer:

(b) Given D=10 x3

3x Estimate the flux through the surface of a rectangular with

-1 < x < 1, -1< y < 1 and -1 < z < 1 by evaluating the divergence theorem. (9 marks)

Answer:

TEST 1 BWC 21103 DURATION: ONE HOUR(ELECTROMAGNETISM)

TEST 1 BWC 21103 DURATION: ONE HOUR(ELECTROMAGNETISM)

2 (a) Four point charges each of 10 µC are placed in free space at the points (1, 0, 0), (-1, 0, 0), (0, 1, 0) and (0, -1, 0) m, respectively. Determine the force on a point charge of 30 µC located at a point (0, 0, 1) m (10 marks)

Answer

TEST 1 BWC 21103 DURATION: ONE HOUR(ELECTROMAGNETISM)

(b) Calculate the field intensity at a point on a sphere of radius 3 m, if a positive charge of 2 µC is placed at the origin of the sphere. (5 marks)

Answer

TEST 1 BWC 21103 DURATION: ONE HOUR(ELECTROMAGNETISM)

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LIST OF EQUATIONSx=rsinθcos∅ y=rsinθcos∅ z=rcosθx=rcos∅ y=rsin∅ z=z

E=ρl

4 π ε0[ 1r (sin α1+sin α 2 ) r+ 1

r ( cosα1−cosα 2 ) z ] E=ρl

2 π ε0 rr

D= Qds4π r2 r