The electric field just outside the surface of a hollow conducting sphere of radius 20 cm has a magnitude of 500 N/C and is directed outward. An unknown charge Q is introduced into the center of the sphere and it is noted that the electric field is still directed outward but has decreased to 100 N/C. What is the magnitude of the charge Q?
a. 1.5 nC
b. 1.8 nC
c. 1.3 nC
d. 1.1 nC
e. 2.7 nC
[Ques. 2] A long cylindrical conductor (radius = 1.0 mm) carries a charge density of 4.0 pC/m and is inside a coaxial, hollow, cylindrical conductor (inner radius = 3.0 mm, outer radius = 4.0 mm) that has a total charge of 8.0 pC/m. What is the magnitude of the electric field 2.0 mm from the axis of these conductors?
a. 24 N/C
b. 18 N/C
c. zero
d. 36 N/C
e. 226 N/C
[Ques. 3] A spherical conductor (radius = 1.0 cm) with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm, outer radius = 4.0 cm) which has a total charge of 3.0 pC. What is the magnitude of the electric field 2.0 cm from the center of these conductors?
a. 23 N/C
b. zero
c. 45 N/C
d. 90 N/C
e. 110 N/C
[Ques. 4] The field just outside the surface of a long conducting cylinder which has a 2.0-cm radius points radially outward and has a magnitude of 200 N/C. What is the charge density on the surface of the cylinder?
a. 2.7 nC/m2
b. 1.8 nC/m2
c. 3.5 nC/m2
d. 4.4 nC/m2
e. 0.90 nC/m2
[Ques. 5] If the electric field just outside a thin conducting sheet is equal to 1.5 N/C, determine the surface charge density on the conductor.
a. 53 pC/m2
b. 27 pC/m2
c. 35 pC/m2
d. 13 pC/m2
e. 6.6 pC/m2
[Ques. 6] A long straight metal rod has a radius of 2.0 mm and a surface charge of density 0.40 nC/m2 . Determine the magnitude of the electric field 3.0 mm from the axis.
a. 18 N/C
b. 23 N/C
c. 30 N/C
d. 15 N/C
e. 60 N/C
[Ques. 7] The axis of a long hollow metallic cylinder (inner radius = 1.0 cm, outer radius = 2.0 cm) coincides with a long wire. The wire has a linear charge density of 8.0 pC/m, and the cylinder has a net charge per unit length of 4.0 pC/m. Determine the magnitude of the electric field 3.0 cm from the axis.
a. 5.4 N/C
b. 7.2 N/C
c. 4.3 N/C
d. 3.6 N/C
e. 2.4 N/C
[Ques. 8] A 4.0-pC point charge is placed at the center of a hollow (inner radius = 2.0 cm, outer radius = 4.0 cm) conducting sphere which has a net charge of 4.0 pC. Determine the magnitude of the electric field at a point which is 6.0 cm from the point charge.
a. 35 N/C
b. 25 N/C
c. 30 N/C
d. 20 N/C
e. 10 N/C
[Ques. 9] Charge of uniform density (40 pC/m2) is distributed on a spherical surface (radius = 1.0 cm), and a second concentric spherical surface (radius = 3.0 cm) carries a uniform charge density of 60 pC/m2 . What is the magnitude of the electric field at a point 2.0 cm from the center of the two surfaces?
a. 1.1 N/C
b. 4.5 N/C
c. 1.4 N/C
d. 5.6 N/C
e. 0.50 N/C
[Ques. 10] A point charge (5.0 pC) is located at the center of a spherical surface (radius = 2.0 cm), and a charge of 3.0 pC is spread uniformly upon this surface. Determine the magnitude of the electric field 1.0 cm from the point charge.
a. 0.72 kN/C
b. 0.45 kN/C
c. 0.63 kN/C
d. 0.90 kN/C
e. 0.18 kN/C
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