Question 1

Suitable units for $\mu$0 are:

Accepted Answer

A)  tesla 
B)  newton/ampere2 
C)  weber/meter 
D)  kilogram.ampere/meter 
E)  tesla.meter/ampere 
A)  tesla 
B)  newton/ampere2 
C)  weber/meter 
D)  kilogram.ampere/meter 
E)  tesla.meter/ampere

Question 2

Solenoid 2 has twice the radius and six times the number of turns per unit length as solenoid 1. The ratio of the magnetic field in the interior of 2 to that in the interior of 1 is:

Accepted Answer

A)  1/3 
B)  1 
C)  2 
D)  4 
E)  6 
A)  1/3 
B)  1 
C)  2 
D)  4 
E)  6

Question 3

A long straight cylindrical shell has an inner radius Ri and an outer radius Ro. It carries a current i, uniformly distributed over its cross section. A wire is parallel to the cylinder axis, in the hollow region (r i). The magnetic field is zero everywhere in the hollow region. We conclude that the wire:

Accepted Answer

A)  is on the cylinder axis and carries current i in the same direction as the current in the shell 
B)  may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell 
C)  may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell 
D)  is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell 
E)  does not carry any current 
A)  is on the cylinder axis and carries current i in the same direction as the current in the shell 
B)  may be anywhere in the hollow region but must be carrying current i in the direction opposite to that of the current in the shell 
C)  may be anywhere in the hollow region but must be carrying current i in the same direction as the current in the shell 
D)  is on the cylinder axis and carries current i in the direction opposite to that of the current in the shell 
E)  does not carry any current

Question 4

Two parallel wires, 4 cm apart, carry currents of 2 A and 4 A respectively, in opposite directions. The force per unit length of one wire on the other is:

Accepted Answer

A)  1 * 10-3 N/m, repulsive 
B)  1 * 10-3 N/m, attractive 
C)  4 *10-5 N/m, repulsive 
D)  4 * 10-5 N/m, attractive 
E)  none of these 
A)  1 * 10-3 N/m, repulsive 
B)  1 * 10-3 N/m, attractive 
C)  4 *10-5 N/m, repulsive 
D)  4 * 10-5 N/m, attractive 
E)  none of these

Question 5

If R is the distance from a magnetic dipole, then the magnetic field it produces is proportional to:

Accepted Answer

A)  R2  
B)  R 
C)  1/R 
D)  1/R2 
E)  1/R3 
A)  R2  
B)  R 
C)  1/R 
D)  1/R2 
E)  1/R3

Question 6

A toroid with a square cross section carries current i. The magnetic field has its largest magnitude:

Accepted Answer

A)  at the center of the hole 
B)  just inside the toroid at its inner surface 
C)  just inside the toroid at its outer surface 
D)  at any point inside (the field is uniform) 
E)  at none of the above 
A)  at the center of the hole 
B)  just inside the toroid at its inner surface 
C)  just inside the toroid at its outer surface 
D)  at any point inside (the field is uniform) 
E)  at none of the above

Question 7

Two long straight wires pierce the plane of the paper at vertices of an equilateral triangle as shown below. They each carry 2.0 A, out of the paper. The magnetic field at the third vertex (P) has magnitude:

Accepted Answer

A)  5.0 * 10-6 T 
B)  8.7 *10-6 T 
C)  1.0 * 10-5 T 
D)  1.7* 10-5 T 
E)  2.0 * 10-5 T 
A)  5.0 * 10-6 T 
B)  8.7 *10-6 T 
C)  1.0 * 10-5 T 
D)  1.7* 10-5 T 
E)  2.0 * 10-5 T

Question 8

The magnitude of the magnetic field at point P, at the center of the semicircle shown, is given by:

Accepted Answer

A)  2$\mu$0i/R2 
B)  $\mu$0i/2 $\pi$R 
C)  $\mu$0i/4 $\pi$R 
D)  $\mu$0i/2R 
E)  $\mu$0i/4R 
A)  2$\mu$0i/R2 
B)  $\mu$0i/2 $\pi$R 
C)  $\mu$0i/4 $\pi$R 
D)  $\mu$0i/2R 
E)  $\mu$0i/4R

Question 9

A long straight wire carrying a 3.0 A current enters a room through a window 1.5 m high and 1.0 m wide. The path integral around the window frame has the value:

Accepted Answer

A)  0.20 T.m 
B)  2.5 *10-7 T.m 
C)  3.0 * 10-7 T.m 
D)  3.8 * 10-6 T.m 
E)  none of these 
A)  0.20 T.m 
B)  2.5 *10-7 T.m 
C)  3.0 * 10-7 T.m 
D)  3.8 * 10-6 T.m 
E)  none of these

Exam 29: Magnetic Fields Due to Currents

Suitable units for μ\muμ 0 are:

Solenoid 2 has twice the radius and six times the number of turns per unit length as solenoid 1. The ratio of the magnetic field in the interior of 2 to that in the interior of 1 is:

Two parallel wires, 4 cm apart, carry currents of 2 A and 4 A respectively, in opposite directions. The force per unit length of one wire on the other is:

If R is the distance from a magnetic dipole, then the magnetic field it produces is proportional to:

A toroid with a square cross section carries current i. The magnetic field has its largest magnitude:

Two long straight wires pierce the plane of the paper at vertices of an equilateral triangle as shown below. They each carry 2.0 A, out of the paper. The magnetic field at the third vertex (P) has magnitude:

The magnitude of the magnetic field at point P, at the center of the semicircle shown, is given by:

A long straight wire carrying a 3.0 A current enters a room through a window 1.5 m high and 1.0 m wide. The path integral around the window frame has the value:

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Suitable units for $\mu$ ₀ are: