Question

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 loop?

d) If the magnetic field is constant in time, with magnitude B = 0.79 T, and the radius of the loop of the wire decreases at a rate of 0.2 cm / s, what is the magnitude of the induced emf?

Answer #1

A uniform magnetic field is perpendicular to the plane of a
circular loop of diameter 7.6 cm formed from wire of diameter 3.2
mm and resistivity of 1.83 × 10-8Ω·m. At what rate must
the magnitude of the magnetic field change to induce a 8.8 A
current in the loop?

A 26.8 cm-diameter loop of wire is initially oriented
perpendicular to a 1.6 T magnetic field. The loop is rotated so
that its plane is parallel to the field direction in 0.22 s .
What is the magnitude of the average induced emf in the
loop?
Express your answer using two significant figures.
Eavg=
V

Question 1: A 13.7 cm diameter loop of wire is initially
oriented perpendicular to a 1.9 T magnetic field. The loop is
rotated so that its plane is parallel to the field direction in
0.33 s .
Part A: What is the average induced emf in the loop?
Question 2: A 7.4 cm diameter circular loop of wire is in a 0.71
T magnetic field. The loop is removed from the field in 0.28 s .
Assume that the loop...

A circular loop in the plane of the paper lies in a 0.76 T
magnetic field pointing into the paper. If the loop's diameter
changes from 20.2 cm to 9.6 cm in
0.56 s. What is the direction of the induced current? What is
the magnitude of the average induced emf?

A circular loop in the plane of the paper lies in a 0.38 T
magnetic field pointing into the paper.
Part A: If the loop's diameter changes from 19.4 cm to 5.8 cm in
0.49 s , what is the direction of the induced current?
Part B: What is the magnitude of the average induced emf?

A circular loop in the plane of the paper lies in a 0.65 T
magnetic field pointing into the paper. If the loop's diameter
changes from 19.4 cm to 7.2 cm in 0.15 s , what is the direction of
the induced current? What is the magnitude of the average induced
emf? If the coil resistance is 3.3 ? , what is the average induced
current?

The magnetic field perpendicular to a circular wire loop 8.0cm
in diameter is changed from 0.70T toward the observer to 0.34T away
from you in 160 milliSeconds.
Q1. Calculate the magnitude of the induced EMF (during the
change in B ) and determine what direction will the induced current
flow during the change in B? Will it be CW or CCW as
you see it?
a) The initial Flux is:
b) The final Flux is:
c) The induced EMF is:...

A circular loop in the plane of the paper lies in a 0.75 T
magnetic field pointing into the paper. The loop’s diameter is
changed from 20.0 cm to 6.0 cm in 0.50 s.
Determine the direction of the induced current and justify your
answer.
Determine the magnitude of the average induced emf.
If the coil resistance is 2.5 Ω, what is the average induced
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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
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A two-turn circular wire loop of radius 0.737 m lies in a plane
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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.

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