Question

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 0*t* + 0.040
0*t*^{2}, where *B* is in teslas and
*t* is in seconds. Calculate the induced emf in the coil at
*t* = 4.60 s.

Answer #1

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 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 coil of 312 winds of wire (radius = 7.0 cm,
resistance = 7.4 Ω) is placed in a uniform magnetic field that is
perpendicular to the plane of the loop. The magnitude of the field
changes with time according to ? = 90sin(7?) mT, where ? is
measured in seconds. Determine the magnitude of the current induced
in the loop at ?=?/7 s.

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 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 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 flat circular coil with 96 turns, a radius of 3.72 10-2 m, and
a resistance of 0.432 Ω is exposed to an external magnetic field
that is directed perpendicular to the plane of the coil. The
magnitude of the external magnetic field is changing at a rate of
ΔB/Δt = 0.837 T/s, thereby inducing a current in the coil. Find the
magnitude of the magnetic field at the center of the coil that is
produced by the induced current.

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 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.

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