Question

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

(iii) If the coil is also rotated at the rate of 50 RPM what will be the current through the resistor at t = 5 seconds .

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.

#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.)

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 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 5.0-cm-diameter coil has 20 turns and a resistance
of 0.50 Ω. A magnetic field "parallel" to the coil's axis is B =
0.020t + 0.010t2, where B is in tesla and t is in seconds.
a) Find an expression for the induced current I(t) as
a function of time.
b) Evaluate I at t = 10 s and t = 20 s.

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 circular coil with radius r and N turns rotates in a magnetic
field B with angular velocity ω. The coil is connected to a
resistor with resistance R. Find the average power delivered to the
resistor.

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 generator is constructed by rotating a coil of N turns in a
magnetic field B at a frequency f. The internal resistance of the
coil is R and the cross sectional area of the coil is A. Decide
which statements are true and which are false. If the first is T
and the rest F, enter TFFFFF.
A) The maximum induced EMF occurs when the coil is rotated about
an axis parallel to the magnetic field lines.
B) The...

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