Question

A circular loop with 50 coils is pulled (to the right) from an external magnetic field of 0.8 T into the page. At t=0 the right edge of the loop is at the right edge of the magnetic field. After 0.250 seconds the loop has moved completely out of the magnetic field. Diameter of the coil is 10 cm

- Find the rate of change in flux through one loop as the loop if the loop is pulled out of the magnetic field.

- If the loop contains 50 coils what is the induced emf in the loop?

- What is the induced current in the coil if the total resistance of the loop is 25 Ω ?

- What is the direction of the current induced in the loop? (Hint: Use Lenz’s law to find the direction of the induced magnetic field, then find the current direction needed to produce that magnetic field.

- How much energy is dissipated in the loop?

Answer #1

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
current?

A conducting loop has a magnetic flux through it. If the loop is
rotated will the flux through the loop change?
Yes, if the rotation axis is not parallel to the magnetic
field
Only of the rotation axis is parallel to the magnetic field
Yes, for any rotation axis
Not enough information
2. A bar magnet is held stationary inside a coil of wire that is
connected to a meter. What can be said about the current in the
coil?...

17.1) Helmholtz coils
The magnetic field on the axis of a circular loop of wire is
not very uniform (in fact, we showed that the field
strength decreases as 1/r3
). But, with two such coils, one can produce a relatively
uniform field in a small
neighborhood.
Consider two parallel circular coils of radius a, centered on
the y-axis. One coil is in the y = 0 plane, and the
other is in the y = d plane. Assume that...

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?

A magnetic field, strength 3T, has a direction out of the page.
A loop of wire sits in the field and on the plane of the page (area
vector of loop is out of page). The loop is much smaller than the
extent of the field. The magnetic field starts to slowly change at
a rate of -0.0001T/s. Looking down on the loop, which statement is
correct?
A. Magnetic flux out of page decreasing; anti-clockwise current
induced in loop
B....

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:...

The component of the external magnetic field along the central
axis of a 49 turn circular coil of radius 41.0 cm decreases from
1.90 T to 0.700 T in 3.40 s. If the resistance of the coil is R =
7.50 Ω, what is the magnitude of the induced current in the
coil?
magnitude:__________ A
What is the direction of the current if the axial component of
the field points away from the viewer?

A circular loop in the plane of a paper lies in a 0.75 TT
magnetic field pointing into the paper. The loop's diameter changes
from 20.5 cmcm to 6.4 cmcm in 0.46 ss .
What is the magnitude of the average induced emf?
What is the average induced current if the coil resistance is
4.3 Ω?

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.

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

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