Question

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?

Answer #1

given :

N = 200

r = 2 cm = 0.02 m

a) = magnetic dipole moment = .

also, = current * area * number of turns = i * area * N

[answer]

b) B = magnetic field

Torque of a magnetic dipole in uniform magnetic field is given by

[theta = angle between B and magneitc moment or area vector ]

therefore, maximum torque experienced when theta equals 90 degree,

[answer]

c) if theta = 45 degree, then

[answer]

d) Magnetic potential energy is given by

Magnetic potential energy for this orientation is [answer]

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 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?

A circular coil of radius 4.0 cm, resistance 0.30 Ω, and 100
turns is placed in a uniform magnetic field at an angle of 30° with
the plane of the coil. The magnitude of the field changes with time
according to ?(?)=20?^(−0.3?) (in Tesla, t is time in seconds).
What is the value of the current induced in the coil at the time t
= 2.0 s?

A circular loop of radius 14 cm carries a current of 15 A. A
flat coil of radius 1.2 cm, having 65 turns and a current of 1.1 A,
is concentric with the loop. The plane of the loop is perpendicular
to the plane of the coil. Assume the loop's magnetic field is
uniform across the coil. What is the magnitude of (a) the magnetic
field produced by the loop at its center and (b) the torque on the
coil...

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 physics technician makes a circular coil consists of 120 turns
of copper wire with a resistance of 0.6 Ω. The coil radius is 6 cm.
the coil is connected to a 12 V battery. (a) Calculate the magnetic
moment of the coil. (b) If the coil was placed between the pole
faces of a magnet where the magnetic field strength was 0.5 T,
calculate the maximum torque on the coil.

20.1 A short circular coil with 15 turns has a radius of 7 cm. The
coil is placed is a 2.5 T magnetic field. Find the flux through the
coil for each case: a) the plane of the coil is perpendicular to
the magnetic field b) the angle between the plane of the coil and
the magnetic field is 35o.

A circular loop of wire having a radius of 8.0 cm carries a
current of 0.20 A. A vector of unit length and parallel to the
dipole moment μ of the loop is given by 0.60
i-0.80 j. (This unit vector gives the
orientation of the magnetic dipole moment vector.) If the loop is
located in a uniform magnetic field given by
B=0.25 i+0.30 k T.
Find (a) the torque on the loop (in unitvector notation) and (b)
the orientation...

A circular wire loop whose radius is 16.0 cm carries a current
of 2.58 A. It is placed so that the normal to its plane makes an
angle of 41.0° with a uniform magnetic field of 1.20 T. The initial
torque on the current loop will make the magnetic dipole moment
vector Will it?:
A. Try to align against the magnetic field
B. Try to align with the magnetic field.
C .There will be no torque on the loop
Then...

A circular coil of wire (N=10 turns) of radius 0.20 m is in a
uniform magnetic field of 0.50 T. The current in the loop is 4.0 A.
What is the magnetic torque when the plane of the loop is parallel
to the magnetic field?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 20 minutes ago

asked 29 minutes ago

asked 37 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago