Excel in math and science.

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Your answer seems reasonable. Find out if you're right!

That seems reasonable. Find out if you're right!

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Electricity and Magnetism

Magnetic Flux, Induction, and Ampere's Circuital Law

Concept Quizzes

Ampere's law (Quantitative)
Magnetic flux and Faraday's law (quantitative)
Lenz's law
Magnetic moment

Challenge Quizzes

Magnetic Flux, Induction, and Ampere's Circuital Law: Level 4-5 Challenges

Magnetic moment

Consider an elliptical shaped single wire loop having a major axis of $H=40.0 \text{ cm}$ and a minor axis of $L=30.0 \text{ cm},$ which is in a uniform magnetic field of $6.00 \times 10^{-4} \text{ T}$ directed toward the left of the screen. The wire loop lies in the plane of the screen and carries a clockwise current of $6.00 \text{ A}.$ What is the approximate magnitude of the torque on the coil?

Note: The area of an ellipse is $A=\pi ab,$ where $a$ and $b$ are, respectively, the semi-major and semi-minor axes of the ellipse.

4.75 \times 10^{-5} \text{ N}\cdot\text{m}

4.07 \times 10^{-4} \text{ N}\cdot\text{m}

3.39 \times 10^{-4} \text{ N}\cdot\text{m}

5.43 \times 10^{-5} \text{ N}\cdot\text{m}

Show explanation

View wiki

by Brilliant Staff

Suppose that a circular path of radius $r=5.10 \times 10^{-11} \text{ m},$ on which an electron moves with speed $2.40 \times 10^6 \text{ m/s},$ lies in a uniform magnetic field of magnitude $B=7.40 \text{ mT}.$ If we treat the circular path as a current loop, what is the approximate maximum possible magnitude of the torque produced on the loop by the magnetic field?

Assumptions and Details

The elementary charge is $1.60 \times 10^{-19} \text{ C}.$

7.25 \times 10^{-26} \text{ N}\cdot\text{m}

1.81 \times 10^{-25} \text{ N}\cdot\text{m}

3.62 \times 10^{-26} \text{ N}\cdot\text{m}

5.43 \times 10^{-25} \text{ N}\cdot\text{m}

Show explanation

View wiki

by Brilliant Staff

Consider a single rectangular coil having dimensions of $3.0 \text{ cm}$ by $7.0 \text{ cm},$ which is placed in a uniform magnetic field of magnitude $8.00 \text{ T}.$ If the maximum torque exerted on it by the magnetic field is $0.25 \text{ N}\cdot\text{m},$ what is the approximate current in the coil?

29.76 \text{ A}

14.88 \text{ A}

22.32 \text{ A}

7.44 \text{ A}

Show explanation

View wiki

by Brilliant Staff

Suppose that a circular single wire loop of diameter $12.0 \text{ cm}$ is placed in a uniform magnetic field of $4.00 \text{ mT}.$ If the wire loop carries a current of $6.00 \text{ A},$ what is the approximate maximum torque on the wire loop?

380\,\mu\text{N}\cdot\text{m}

434\,\mu\text{N}\cdot\text{m}

271\,\mu\text{N}\cdot\text{m}

543\,\mu\text{N}\cdot\text{m}

Show explanation

View wiki

by Brilliant Staff

Consider a single wire loop in the shape of square made from a copper wire with length $8.0 \text{ m}$ and cross-sectional area $1.2 \times 10^{-4} \text{ m}^2.$ If it is connected to a potential difference of $0.10 \text{ V}$ and then placed in a uniform magnetic field of magnitude $0.50 \text{ T},$ what is the approximate maximum torque that can act on it?

The resistivity of copper is $1.70 \times 10^{-8} \,\Omega \cdot \text{m}.$

132.8 \text{ N}\cdot\text{m}

88.5 \text{ N}\cdot\text{m}

177.0 \text{ N}\cdot\text{m}

221.3 \text{ N}\cdot\text{m}

Show explanation

View wiki

by Brilliant Staff