Question

**#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/s^{5})t^{5}. 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.)

Answer #1

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.

A coil 4 cm in radius, containing 500 turns, is placed in a
uniform magnetic field that varies with time according to B = 5.0
-0.1t + .012t^3 – 1.5e-0.3^t Tesla. The coil is connected to a 100
Ω resistor with its plane being perpendicular to the magnetic
field.
(i) What will be the emf generated in the coil as a function of
time?
(ii) What will be the current in the resistor at a time t = 5
sec...

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 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...

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 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 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 flat, circular coil has 40 turns of radius 3.6 cm. At t=0 an
external magnetic field perpendicular to the plane of the coil has
a value of 0.32 T and is decreasing linearly with time. At t = 0,
the induced emf is 65 mV. How long does it take for the field to
reach zero?

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?

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...

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