Question

A flat circular coil having 15 turns, each of a radius of 18.0 cm, is in a uniform and steady 0.130-T magnetic field. The coil has a resistance of 8.00

a) Find the total magnetic flux through one turn of the coil when the field is parallel to the axis of the coil.

b) If the coil is rotated in 12.0 ms so its axis is perpendicular to the field, find the average induced voltage and the induced current in the coil.

Answer #1

A circular coil of wire with 5 turns and a radius of 4.0 cm lies
flat on a table in a region where the magnetic field is 4.5 mT up.
The coil is flipped over in a time of 0.25 s. Is an emf induced in
the coil? If so, what is its average value?

A 133 turn circular coil of radius 2.77 cm is immersed in a
uniform magnetic field that is perpendicular to the plane of the
coil. Over an interval of 0.121 s, the magnetic field strength
increases from 55.7 mT to 95.9 mT. Find the magnitude of the
average emf avgEavg induced in the coil during this time interval,
in millivolts.
avg=Eavg= ?

A coil 5.00 cm in radius, containing 250 turns, is
placed in a uniform magnetic field that varies with time according
to:
B = (0.230 T/s)t + (4.00 x 10-5
T/s5)t5. The coil is connected to
a 450 ohm resistor, and its plane is perpendicular to the magnetic
field. The resistance of the coil can be
neglected. Find the induced emf in the coil as a
function of time.

#5. A coil 5.00 cm in radius, containing 250
turns, is placed in a uniform magnetic field that varies with time
according to:
B = (0.230 T/s)t + (4.00 x 10-5
T/s5)t5. The coil is connected to
a 450 ohm resistor, and its plane is perpendicular to the magnetic
field. The resistance of the coil can be
neglected. Find the induced emf in the coil as a
function of time. (20 pts.)

A 29-turn circular coil of radius 3.40 cm and resistance 1.00 Ω
is placed in a magnetic field directed perpendicular to the plane
of the coil. The magnitude of the magnetic field varies in time
according to the expression B = 0.010 0t + 0.040
0t2, where B is in teslas and
t is in seconds. Calculate the induced emf in the coil at
t = 4.60 s.

A 159 ‑turn circular coil of radius 3.49 cm and negligible
resistance is immersed in a uniform magnetic field that is
perpendicular to the plane of the coil. The coil is connected to a
10.9 Ω resistor to create a closed circuit. During a time interval
of 0.141 s, the magnetic field strength decreases uniformly from
0.539 T to zero. Find the energy ? in millijoules that is
dissipated in the resistor during this time interval.

A 173 ‑turn circular coil of radius 2.79 cm and negligible
resistance is immersed in a uniform magnetic field that is
perpendicular to the plane of the coil. The coil is connected to a
11.9 Ω resistor to create a closed circuit. During a time interval
of 0.161 s, the magnetic field strength decreases uniformly from
0.673 T to zero. Find the energy, in millijoules, that is
dissipated in the resistor during this time interval.
energy:____________ mJ

A circular coil (d = 28 cm, N = 113 turns) is placed in a region
of space where there is no magnetic field. Suddenly, a magnetic
field is turned on and the coil is totally immersed in it. The
magnetic field reaches the strength of 950 mT in 3.5 ms.
Determine the voltage induced across the coil
Determine the current through a 23 Ω resistor connected across
the coil.

1. What is the peak emf in kV generated by a 0.214 m radius,
561-turn coil is rotated one-fourth of a revolution in 5.15 ms,
originally having its plane perpendicular to a uniform magnetic
field of 0.449 T.
2. Calculate the peak voltage of a generator that rotates its
183-turn, 0.069 m diameter coil at 3,243 rpm in a 0.924 T
field.

A 37-turn circular coil of
radius 4.60 cm and resistance 1.00 Ω is placed
in a magnetic field directed perpendicular to the plane of the
coil. The magnitude of the magnetic field varies in time according
to the expression B = 0.010
0t + 0.040 0t2,
where B is in teslas and t is in
seconds. Calculate the induced emf in the coil
at t = 4.20 s.

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