Quizbank/Electricity and Magnetism (calculus based)/QBCh12

QB153086031104

QB:Ch 12:V1
QB153086031104 1) Two loops of wire carry the same current of 14 kA, and flow in the same direction. They share a common axis and orientation.  One loop has a radius of 0.835 m while the other has a radius of 1.29 m.  What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.607 m from the first (smaller) loopif the disance between the loops is 1.61 m?
 * a) 6.099E-03 T
 * b) 6.709E-03 T
 * c) 7.380E-03 T
 * d) 8.118E-03 T
 * e) 8.930E-03 T

2) A solenoid has 4.380E+04 turns wound around a cylinder of diameter 1.77 cm and length 16 m. The current through the coils is 0.916 A.  Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $$\int\vec B\cdot\vec\ell$$ alongthe axis from z=&minus;4.39 cm to z=+4.26 cm
 * a) 2.478E-04 T-m
 * b) 2.726E-04 T-m
 * c) 2.998E-04 T-m
 * d) 3.298E-04 T-m
 * e) 3.628E-04 T-m

3) Under most conditions the current is distributed uniformly over the cross section of the wire.  What is the magnetic field 2.04 mm from the center of a wire of radius 5 mm if the current is 1A?
 * a) 1.115E-05 T
 * b) 1.226E-05 T
 * c) 1.349E-05 T
 * d) 1.484E-05 T
 * e) 1.632E-05 T