the top circuit is changing? (c) Does the rate at which the current in the top circuit changes have any effect on the potential
difference you measure in the second circuit?
(a) Yes No
(b) Yes No
(c) Yes NoSection 2 - Interactive problem: motional induction
2.1 Use the simulation in the interactive problem in this section to answer the following questions. (a) Does the induced current
change direction when the wire moves in a different direction? (b) What happens to the induced emf when you move the wire
faster? (c) For a given wire speed, what happens to the induced emf when the strength of the magnetic field increases? (d) A
controller in the simulation allows you to change the magnetic field strength, but only stepwise rather than continuously.
Describe what happens to the induced emf when you impose a sudden jump in field strength.
(a) Yes No
(b) The induced emf i. increases
ii. decreases
iii. stays the samewhen the wire moves faster.(c) The induced emf i. increases
ii. decreases
iii. stays the samewhen the field strength increases.Section 5 - Motional induction: calculating the potential difference
5.1 A wire is moving perpendicularly through a magnetic field of strength 0.100 T with speed 60.0 m/s. If the potential difference
between the ends of the wire is 3.00 V, what is the length of the wire?
m
5.2 A sailboat with an aluminum mast 22.5 m high is sailing eastward along the equator at a speed of 3.66 meters per second.
The Earth's magnetic field at the ship's location is 5.50×10í^5 T, horizontal and directed due north. What is the induced
potential difference between the top and bottom of the mast?
V
5.3 A Boeing 777-200 airliner with a wingspan of 64.0 m is flying perpendicular to the Earth's magnetic field at its cruising speed
of 250 m/s. The strength of the field is 5.05×10í^5 T. What potential difference is induced between the plane's wingtips?
V
5.4 During your biking tour of the Pacific Northwest, you decide to outdo those latte-guzzling ecotopians at their own game.
Instead of the four toxic and disposable 1.5-volt batteries suggested for your walkabout CD player, you will place a 2.0 m
conducting wand across your handlebars. Pedaling furiously in a direction perpendicular to the local magnetic field, you wish
to go fast enough to induce a potential difference of 6.0 V (equivalent to four batteries in series). (a) The strength of the
Earth's magnetic field at your location is 5.0×10í^5 T. How fast will you need to go? (b) Is this speed street-legal? (c) The
magnetic declination at your location is 19°. At what angle from geographic north should you travel to maximize the potential
difference of your environment-friendly arrangement?
(a) m/s
(b) Yes No
(c) i. 0
ii. 19
iii. 71
iv. 90degreesSection 6 - Magnetic flux
6.1 A 0.150 T magnetic field B crosses the xy
plane perpendicular to the x axis and at an
angle of 30.0° to the y axis. A square surface
with sides of length 7.00 m lies mainly in the
xy plane, but a 1.50 m section of it at one end
is bent 90° in the negative z direction. What is
the total magnetic flux through the surface?
Choose directions for the area vectors so that
the flux through each surface is positive.
Wb(^554) Copyright 2000-2007 Kinetic Books Co. Chapter 29 Problems