Magnetism & Electromagnetism: Key Concepts

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Questions and Answers

A long, straight wire carries a current $I$. What is the magnitude of the magnetic field $B$ at a distance $r$ from the wire?

  • $B = \frac{\mu_0 I}{2r}$
  • $B = \frac{\mu_0 I^2}{2\pi r}$
  • $B = \frac{\mu_0 I}{2\pi r}$ (correct)
  • $B = \frac{\mu_0 I}{4\pi r^2}$

A charged particle moves with velocity $\vec{v}$ in a magnetic field $\vec{B}$. The magnetic force on the particle is given by $\vec{F} = q\vec{v} \times \vec{B}$. Under what condition is the magnitude of the magnetic force maximized?

  • When $\vec{v}$ and $\vec{B}$ are perpendicular. (correct)
  • When $\vec{v}$ and $\vec{B}$ are parallel.
  • When the charge q is zero.
  • When $\vec{v}$ and $\vec{B}$ are anti-parallel.

A circular loop of wire with radius $R$ carries a current $I$. What is the magnetic dipole moment $\mu$ of the loop?

  • $\mu = I \pi R^2$ (correct)
  • $\mu = \frac{I}{R}$
  • $\mu = 2I \pi R$
  • $\mu = I R$

An inductor with inductance $L$ carries a current $I$. What is the energy $U$ stored in the inductor?

<p>$U = \frac{1}{2}LI^2$ (A)</p> Signup and view all the answers

A parallel-plate capacitor with capacitance $C$ has a voltage $V$ across its plates. What is the energy $U$ stored in the capacitor?

<p>$U = \frac{1}{2}CV^2$ (A)</p> Signup and view all the answers

What is the primary cause of electromagnetic induction?

<p>A changing magnetic field. (C)</p> Signup and view all the answers

A transformer has 100 turns in its primary coil and 500 turns in its secondary coil. If the input voltage in the primary coil is 120 V, what is the output voltage in the secondary coil, assuming an ideal transformer?

<p>600 V (C)</p> Signup and view all the answers

Which of the following is NOT a property of electromagnetic waves?

<p>They are deflected by electric fields. (B)</p> Signup and view all the answers

What is the relationship between the electric field ($\vec{E}$) and the magnetic field ($\vec{B}$) in an electromagnetic wave?

<p>$\vec{E}$ and $\vec{B}$ are perpendicular and in phase. (A)</p> Signup and view all the answers

A wire of length $L$ is moving with a velocity $v$ perpendicular to a magnetic field $B$. What is the induced electromotive force (EMF) in the wire?

<p>$EMF = BLv$ (D)</p> Signup and view all the answers

Flashcards

Magnetic field

A field of force produced by moving electric charges.

Electromagnetic Induction

The phenomenon where a changing magnetic field induces a voltage in a conductor.

Electric Motor

A device that converts electrical energy into mechanical energy using electromagnetic induction.

Electric Generator

A device that converts mechanical energy into electrical energy using electromagnetic induction.

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Electromagnetism

The relationship between electric currents and magnetic fields.

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Solenoid

A coil of wire that creates a magnetic field when an electric current passes through it.

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Electromagnet

A solenoid with a ferromagnetic core, which greatly enhances the magnetic field.

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Ferromagnetic Material

A material that is strongly attracted to magnetic fields.

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Permeability

The ability of a material to support the formation of a magnetic field within itself.

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Impedance

The opposition to the flow of alternating current (AC) in a circuit, caused by inductance and capacitance.

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