Question

A 20-turn coil with a diameter of 6.00 cm is placed in a constant, uniform magnetic field of 1.00 T directed perpendicular to the plane of the coil. Beginning at time t = 0 s, the field is increased at a uniform rate until it reaches 1.30 T at t = 10.0 s. The field remains constant thereafter.

1) What is the magnitude of the induced emf in the coil at t < 0 s?

2) What is the magnitude of the induced emf in the coil at t = 5.00 s?

3) What is the magnitude of the induced emf in the coil at t > 10.0 s?

Answer #1

Detailed solution are as follows

A 28-turn coil with a diameter of 6.00 cm is placed in a
constant, uniform magnetic field of 1.00 T directed perpendicular
to the plane of the coil. Beginning at time
t = 0 s,
the field is increased at a uniform rate until it reaches 1.30 T
at
t = 10.0 s.
The field remains constant thereafter. What is the magnitude of
the induced emf in the coil at the following times?
(a) t < 0 s
mV
(b) t =...

A 22-turn circular coil of radius 5.00 cm and resistance 1.00 ?
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 = 5.40 s.
mV

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.

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 140 turn , 2.40 cm diameter coil is at rest in a
horizontal plane. A uniform magnetic field 60∘ away from vertical
increases linearly from 0.740 T to 1.67 T in 0.660 s .
(Ans. 44.6 mV)
please answer parts A and B, each present new conditions
for the same coil.
A). If the loops are then re-aligned such that
the magnetic field is perpendicular to the plane of the loops (the
area vector is parallel with the magnetic...

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= ?

2. A circular coil with 30 turns of wire has a diameter of 2.00
cm. The total resistance of the coil is 0.350 Ω. An applied uniform
magnetic field is directed upward, perpendicular to the plane of
the coil.
a) If the magnetic field changes linearly from 0.000 T to 0.800
T in 0.500 s, what is the induced emf in the coil while the field
is changing?
b) What is the magnitude and direction (CW or CCW when looked...

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.)

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