Question

A circular conducting loop of radius 31.0 cm is located in a
region of homogeneous magnetic field of magnitude 0.100 T pointing
perpendicular to the plane of the loop. The loop is connected in
series with a resistor of 211 Ω. The magnetic field is now
increased at a constant rate by a factor of 2.80 in 17.0s.

1.) Calculate the magnitude of the induced emf in the loop while
the magnetic field is increasing.

2.) Calculate the magnitude of the current induced in the loop while the field is increasing.

3.) With the magnetic field held constant at its new value of 0.28 T, calculate the magnitude of the average induced voltage in the loop while it is pulled horizontally out of the magnetic field region during a time interval of 3.90 s.

Please provide answers in proper units.

Answer #1

magnetic field increase by a factor of 2.8 in 17 s

so,

so induced emf by faraday's law

A is area of loop

so puttting value here we get

2) induced current is given by

R is resistance by putting values we get.

3)

so induced emf

so putting values we get,

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

We were unable to transcribe this image

A circular conducting loop of radius 31.0 cm is located in a
region of homogeneous magnetic field of magnitude 0.300 T pointing
perpendicular to the plane of the loop. The loop is connected in
series with a resistor of 109 Ω. The magnetic field is now
increased at a constant rate by a factor of 2.40 in 15.0s.
1) Calculate the magnitude of the induced emf in the loop while
the magnetic field is increasing.
2) Calculate the magnitude of...

A circular conducting loop of radius 13.0 cm is located in a
region of homogeneous magnetic field of magnitude 0.300 T pointing
perpendicular to the plane of the loop. The loop is connected in
series with a resistor of 285 Ω. The magnetic field is now
increased at a constant rate by a factor of 2.40 in 23.0s.
Calculate the magnitude of the induced emf in the loop while the
magnetic field is increasing.
Calculate the magnitude of the current...

A circular conducting loop of radius 25.0 cm is located in a
region of homogeneous magnetic field of magnitude 0.700 T pointing
perpendicular to the plane of the loop. The loop is connected in
series with a resistor of 295 Ω. The magnetic field is now
increased at a constant rate by a factor of 2.20 in
21.0s.
a) Calculate the magnitude of the current induced in the loop
while the field is increasing.
b) With the magnetic field held...

Inducing Voltage and Current
A circular conducting loop of radius 21.0 cm is located in a
region of homogeneous magnetic field of magnitude 0.900 T pointing
perpendicular to the plane of the loop. The loop is connected in
series with a resistor of 137 Ω. The magnetic field is now
increased at a constant rate by a factor of 2.60 in 13.0s.
Calculate the magnitude of the induced emf in the loop while the
magnetic field is increasing.
Calculate the...

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...

A circular loop, of radius 15 cm and negligible resistance, is
sitting in a perpendicular magnetic field of 0.1 T. If the magnetic
field strength changes to a value of 0.5 T in 0.5 s, calculate the
induced current in the loop if it is in series with a 20 ohm
resistor.
5.7 × 10–2 A
1.2 × 10–2 A
2.8 × 10–3 A
6.0 × 10–4 A
1.1 A

In an electromagnetic induction experiment, you are keeping a
conducting circular loop of 50 cm radius placed perpendicular to a
magnetic field of 5 T and magnetic field changed from maximum to
zero within 0.50 s. Is law of electromagnetic induction applied
here? Justify your answer. How can you evaluate the magnitude of
induced emf in the coil? When the circular coil having a diameter
of 20 cm is used in above case, evaluate the induced emf? Compare
your results...

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 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...

1) A circular loop of radius 3.53 cm contains 61 turns of
tightly wound wire. If the current in the windings is 0.634 A and a
constant magnetic field of 0.462 T makes an angle of 70.3 ◦ with a
vector perpendicular with the loop, what torque acts on the
loop?
2) The clockwise circulating current in a solenoid is increasing
at a rate of 13 A/s. The crosssectional area of the solenoid is
3.14159 cm2 , and there are...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 6 minutes ago

asked 30 minutes ago

asked 44 minutes ago

asked 45 minutes ago

asked 52 minutes ago

asked 54 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago