A 144-Ω light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of 83.0 cm. This square loop is rotated within a uniform magnetic field of 454 mT.What is the change in magnetic flux through the loop when it rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field?The loop rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field in 56.3 ms. What is the induced current through the light bulb?This square loop is rotated with a frequency of 60 Hz within a uniform magnetic field of 454 mT. This means the loop makes half a revolution in 8.33 ms. What is the induced current in the light bulb when the loop rotates from a position where its area vector is opposite the magnetic field to a position where its area vector is parallel to the magnetic field?

Question
Asked Dec 2, 2019
50 views

A 144-Ω light bulb is connected to a conducting wire that is wrapped into the shape of a square with side length of 83.0 cm. This square loop is rotated within a uniform magnetic field of 454 mT.

What is the change in magnetic flux through the loop when it rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field?

The loop rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field in 56.3 ms. What is the induced current through the light bulb?

This square loop is rotated with a frequency of 60 Hz within a uniform magnetic field of 454 mT. This means the loop makes half a revolution in 8.33 ms. What is the induced current in the light bulb when the loop rotates from a position where its area vector is opposite the magnetic field to a position where its area vector is parallel to the magnetic field?

check_circle

Expert Answer

Step 1

Given,

help_outline

Image Transcriptionclose

R 144 B 454 mT 454 x 10 T a 83 cm-83x102 m A a(83x 10 m A 0.6889 m2 e=30° At = 56.3 ms-56.3 x 10s

fullscreen
Step 2

The change in magnetic flux (ΔΦB) through the loop when it rotates from a position where its area vector makes an angle of 30° with the field to a position where the area vector is parallel to the field can be evaluated as:

help_outline

Image Transcriptionclose

ДФ, — Ф, - Ф, ДФ, 3 (ВА - ВА cos ®) ДФ, - ВА(1-сos®)

fullscreen
Step 3

Plugging the given va...

help_outline

Image Transcriptionclose

a3 (454x103 T)(0.6889 m2)(1-cos 30°) ДФ, 3 41.90 mwb

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Other

Related Physics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: The resistivity of silver ρ = 1.61 x 10-8 Ω.m.  If you have a length of silver wire that is 3.15 m i...

A: the radius of the wire is 241 micro meter.the resistance of the wire is, 

question_answer

Q: Find the mathematical relationship between momentum (mv) and kinetic energy (1/2 mv2).

A: Equation for the momentum is ,

question_answer

Q: A satellite circles the earth in orbit whose radius is 2.20 times the earth's radius. The earth's ma...

A: The expression for the time period is,

question_answer

Q: A 0.500 kg mass attached to a horizontal spring is displaced 17.0 cm from rest and then released. If...

A: The expression for the spring constant is,

question_answer

Q: A broom balances at a point x from its upper end. When a weight of mass m is attached at its upper e...

A: (a)Centre of mass of the broom is,Rewrite the above expression.

question_answer

Q: The main water line enters a house on the first floor. The line has a guage pressure of 1.55 x 105 P...

A: a)Pressure due to water column is,

question_answer

Q: How do you approach solving pulley problems with multiple objects, like the one in the attached pict...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

question_answer

Q: Two blocks with masses M1 and M2 are connected by a massless string that passes over a massless pull...

A: given:mass M1 = 2.25 kgmass M2 = 6.15 kginclined angle θ1 = 43.5ºinclined angle θ2 = 31.5ºcoefficien...

question_answer

Q: Biomass can be used to create ethanol fuel. It can also be used to generate electricity, that can th...

A: Part A:Given information:Energy density of the grass (Ed) = 15 MJ/kgGallons of ethanol produced per ...