Question

A 80.0 turn circular coil of radius 5.00 cm can be oriented in
any direction in a

uniform magnetic field having a magnitude of 0.400 T. The coil
carries a current of 30.0 mA.

a) What is the magnitude of the maximum possible torque exerted on
the coil?

b) For the condition in part (a), what is the orientation
energy?

Answer #1

A circular coil of radius 10 cm and with 125 turns is initially
oriented perpendicular to a uniform magnetic field of strength 2.50
mT directed out of the page. The wire carries a current of .250 A.
a) Sketch the situation. b) Indicate the direction of the magnetic
moment of the coil. c) What is the torque on the coil? d) if the
coil was nudged so that it rotated with the left side of the coil
into the page...

A circular coil with 200 turns has a radius of 2.0 cm. (a) What
current through the coil results in a magnetic dipole moment of 3.0
Am2 ? (b) What is the maximum torque that the coil will experience
in a uniform field of strength ? (c) If the angle between µ and B
is 45°, what is the magnitude of the torque on the coil? (d) What
is the magnetic potential energy of coil for this orientation?

A 200-turn rectangular coil having dimensions of 3.0 cm by 6.0
cm is placed in a uniform magnetic field of magnitude 0.76 T. (a)
Find the current in the coil if the maximum torque exerted on it by
the magnetic field is 0.14 N · m. A (b) Find the magnitude of the
torque on the coil when the magnetic field makes an angle of 25°
with the normal to the plane of the coil. N · m

A 149-turn circular coil of radius 2.67 cm is immersed in a
uniform magnetic field that is perpendicular to the plane of the
coil. During 0.153 s the magnetic field strength increases from
51.1 mT to 99.3 mT. Find the magnitude of the average EMF, in
millivolts, that is induced in the coil during this time
interval.

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 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 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 wire of length 74 cm is wound into a circular coil of 5 loops.
The coil carries a current 1.4 A. Find the maximum torque on the
coil in a uniform magnetic field of 2.3 T.

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.

The figure shows a rectangular, 22-turn coil of wire, of
dimensions 9.3 cm by 3.9 cm. It carries a current of 0.14 A and is
hinged along one long side. It is mounted in the xy plane,
at an angle of 30° to the direction of a uniform magnetic field of
magnitude 0.69 T. Find the (a) x,
(b) y, and (c)
z components of the torque acting on the coil about the
hinge line.

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