6.2 A wire circle of radius 0.050 m is embedded in a solenoid of length 0.20 m with 1000 turns that carries a current of 0.50 A. If a
vector that is normal to the plane of the circle makes a 40° angle with the axis of the solenoid, what is the magnetic flux
through the loop?
WbSection 7 - Faraday’s law
7.1 A magnetic field increases steadily in strength, starting at 0 T. The induced emf in a loop that is resting in the field is 2.72 V.
After 4.75 s, what is the magnitude of the magnetic flux through the loop?
T·m^27.2 A coil with multiple loops is in a magnetic field such that the magnetic flux through the coil increases at a rate of 0.0240
Tm^2 /s. The induced emf in the coil is í3.36 V. How many loops are in the coil?
loops
7.3 A wire has a resistance of 60.0 ohms, and is bent into a square loop with sides of length 15.0 cm. The loop is perpendicular
to a magnetic field which is changing at a rate of 3.00eí3 T/s. What is the current induced in the wire?
A
7.4 You hold a thin gold wedding ring with an inside radius of 1 cm, such that the plane of the ring is perpendicular to the Earth's
magnetic field. At your location it has strength 5.5×10í^5 T. What is the emf induced in the ring if you turn it in one-tenth of a
second to be parallel to the field (that is, you make the area vector of the ring perpendicular to the field)?
VSection 8 - Interactive problem: Faraday’s law
8.1 Use the information given in the interactive problem in this section to calculate the time interval required to induce the desired
emf in the coil. Give your answer in milliseconds. Test your answer using the simulation.
msSection 11 - Interactive problem: a generator
11.1 Use the simulation in the interactive problem in this section to answer the following questions. (a) With what orientation of the
velocity vector is the emf a maximum? (b) With what orientation of the velocity vector is the emf zero? (c) Does the frequency
of the emf change with angular velocity? (d) Does the amplitude of the emf change with angular velocity?
(a) The emf is a maximum when the velocity vector is i. Perpendicular
ii. Parallel
to the magnetic field.(b) The emf is zero when the velocity vector is i. Perpendicular
ii. Parallelto the magnetic field.(c) Yes No
(d) Yes NoSection 12 - An AC generator, its emf, and AC current
12.1 An AC generator generates a maximum emf of 35 V and runs at a frequency of 12 Hz. At a time t, the emf is at a maximum.
How many seconds after t does it take for the emf to fall to zero?
s
12.2 An AC generator is connected in series with a resistor in a simple loop circuit. At a particular time t, the current through the
resistor has its maximum value of 12.3 A, and then begins to fall. Just 0.00573 s later, the current through the resistance has
fallen to 10.7 A. What is the angular frequency of the generator?
rad/s
Section 13 - Interactive problem: alternating current
13.1 Use the oscilloscope in the simulation in the interactive problem in this section to determine (a) Imax, (b) ǻVmax and (c) the
frequency f of the first signal.
(a) A
(b) V
(c) Hz