Question

6: A single-turn circular loop of wire rests flat on this page. A magnetic field is directed perpendicular to this page pointing outwards (towards you). When the magnetic field strength increases from 3.2 T to 6.5 T in 0.026 seconds, a 1 V emf is induced in the coil.

a) Calculate the radius of the loop.

b) State the direction of the induced current and briefly
explain how you arrived at your answer.

Answer #1

A magnetic field is perpendicular to the plane of a single-turn
circular coil. The magnitude of the field is changing, so that an
emf of 0.23 V and a current of 2.4 A are induced in the coil. The
wire is then re-formed into a single-turn square coil, which is
used in the same magnetic field (again perpendicular to the plane
of the coil and with a magnitude changing at the same rate). What
(a) emf and (b) current are...

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.

PLEASE SHOW ALL WORK!
A 50-turn coil of wire lies in a magnetic field directed into
the page. The coil has an
initial area of 0.325 cm^2
a) If the magnetic field strength is 1.50 T, what is the
magnetic flux through the coil?
b) Suppose we now crush the coil so that its area is very
small; i.e., effectively zero. If
this process takes 0.175 s, what is the average induced
emf?

A circular loop in the plane of the paper lies in a 0.78 T
magnetic field pointing into the paper.
A) What is the magnitude of the average induced emf? Answer in
V.
B) If the coil resistance is 4.3 ohm , what is the average
induced current? Answer in A

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 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 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= ?

A square loop of wire consisting of a single turn is
perpendicular to a uniform magnetic field. The square loop is then
re-formed into a circular loop, which also consists of a single
turn and is also perpendicular to the same magnetic field. The
magnetic flux that passes through the square loop is 5.15 ×
10-3 Wb. What is the flux that passes through the
circular loop?

A two-turn circular wire loop of radius 0.737 m lies in a plane
perpendicular to a uniform magnetic field of magnitude 0.591 T. If
the entire wire is reshaped from a twoturn circle to a one-turn
circle in 0.116 s (while remaining in the same plane), what is the
magnitude of the average induced emf E in the wire during this
time? Use Faraday’s law in the form E = − ∆(N Φ) ∆t . Answer in
units of V.

A time-varying magnetic field is perpendicular to the plane of a
circular loop of diameter 10 cm made with wire of diameter 3.4 mm
and resistivity 2.07 × 10-8?·m.
The magnetic field increases as a function of time, with magnitude
B = (0.79 t) T/s
a) What is the magnitude of the emf induced in the loop?
b) What is the value of the current through the loop?
c) At what rate does energy appear as thermal energy in the...

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