Q1: Find the charge density v(x,y,z) if the flux density vector is
D( x, y , z ) = xa x ya y za z , pC/m .
Dx D y Dz
v = D =
= 1 1 1 = 1, pC/m3
Q2: An infinite uniform line charge of density l = 1 pC/m is
located on a line passing thro
Instructor: Natalia K. Nikolova
COURSE ELECTRICAL ENGINEERING 2FH3
Duration of Examination: 3 hours
McMaster University Final Examination
April 8, 2011
THIS EXAMINATION PAPER INCLUDES 6 PAGES AND 6 QUESTIONS. YOU ARE
Q1: A point charge Q = 5 pC is located at the origin. Find the absolute
potential at the point P(3,4,0) mm, if the medium is vacuum.
Coordinates are in mm. Reference point for potential is infinity.
= 9 109
4 0 R
= 3a x + 2a y
B = 10a z
Q1: Find the cross product of the vectors A and B
A B =(3a x + 2a y ) ( 10a z ) =30( a y ) 20a x =20a x + 30a y
Q2: Find the dot product of the vectors A and B A B =
Q3: Convert the spherical coordinates of the point P,
Q1: What is the total charge Q in the volume
0 r 6 m, 0 / 2, 0 /2
if the volume charge density is v = 1012 C/m3.
Q = 63 1012 = 1012 113.1 1012 C
Q2: Find the E field vector (in RCS) at the point P(2,0,5) due to an
infinite uniform plana