ELECTROMAGNETIC (COMM402)
PROF.A.M.ALLAM
SPRING 2014
TUTORIAL4
Problem 1:
Given a surface charge density of 8 nC/m2 on the plane x = 2, a
line charge density of 30 nC/m on the line x = 1, y = 2, and a
1uC point charge at P (−1, −1, 2). Find VAB for points A (3, 4,
0) and B (4, 0, 1)
Problem 2:
Let a uniform surface charge density of 5 nC/m2 be present at
the z = 0 plane, a uniform line charge density of 8 nC/m be
located at x = 0, z = 4, and a point charge of 2uC be present at
P(2, 0, 0). If V = 0 at M (0, 0, 5). Find V at N (1, 2, 3)
Problem 3:
The annular surface, 1 cm < ρ < 3 cm, z = 0, carries the
nonuniform surface charge density ρs = 5ρ nC/m2. Find V at P
(0, 0, 2 cm) if V = 0 at infinity
ELECTROMAGNETIC (COMM402)
PROF.A.M.ALLAM
SPRING 2014
Problem 4:
Two point charges, 1 nC at (0, 0, 0.1) and −1 nC at (0, 0,−0.1),
are in free space
a) Calculate V at P (0.3, 0, and 0.4)
b) Calculate |E| at P
Problem 5:
Problem 6:
Problem 7:
ELECTROMAGNETIC (COMM402)
PROF.A.M.ALLAM
SPRING 2014
Problem 8:
Problem 9:
Problem 10:
Problem 11:
Find the electric field and the potential of a finite line has
charge distribution ρl