EL312 ELECTROMAGNETIC FIELD THEORY (3+0)
Practice Problems Related to Chapter # 02
Version # 2
Problem# 10 Find the total charge contained in a 2cm length of electron beam shown in the
given figure.
Problem# 11 Find the total charge contained in the cone shown in the given figure.
Problem# 12 Volume charge density is given as ρ v= 10-5e-100rsinθ C/m3for spherical region 0 ≤ r
≤ 1cm. Find electric field intensity in Cartesian Coordinate System at P(r = 1, θ = π/2 rad, φ = 0o)
by thinking the total volume charge in terms of point charge at origin.
Problem# 13 An infinite line charge of 30nC/m is placed on z-axis in free space. Find the vector
electric field intensity at point P(3, 4, 5) in
(a) Cylindrical Coordinate System
(b) Cartesian Coordinate System
Problem# 14 In free space, an infinite uniform line charge of 30nC/m is located at y = 3, z = 5.
Find Ein Cartesian Coordinate System at
(a) A(5, 6, 1)
(b) B(0, 6, 1)
(c) Origin
Problem# 15 In free space, two infinite line charges of 5nC/m each lie along the x and y -axes.
Find total Ein Cartesian Coordinate System at
(a) A(0, 0, 4)
(b) B(0, 3, 4)
Problem# 16 In free space, an infinite uniform line charge of -30nC/m is placed at x = 3, y = 4.
Find electric field intensity on z-axis in
(a) Cartesian Coordinate System
(b) Cylindrical Coordinate System
Problem# 17 Three infinite sheets of charge with given uniform density are located in free space
as follows; 3nC/m2at z = -4, 6nC/m2at z = 1 and -8nC/m2at z = 4. Find the total Ein Cartesian
Coordinate System at
(a) A(2, 5, -5)
(b) B(4, 2, -3)
(c) C(-1, -5, 2)
