Electromagnetic Induction Formulas and Notes

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

What is the formula for magnetic flux through a plane of area dA placed in a uniform magnetic field B?

  • $\phi = \frac{dA}{B}$
  • $\phi = \frac{B}{dA}$
  • $\phi = B \cdot dA$
  • $\phi = \int B \cdot dA$ (correct)

According to Faraday's First Law of Electromagnetic Induction, what happens when there is a change in the magnetic flux linked with a circuit with time?

  • The magnetic flux remains constant
  • The current in the circuit reverses
  • The resistance of the circuit decreases
  • An induced emf is produced in the circuit (correct)

What is the relationship between the induced emf and the rate of change of magnetic flux according to Faraday's Second Law?

  • Induced emf, E is inversely proportional to the rate of change of magnetic flux (dÏ•/dt)
  • Induced emf, E is equal to the rate of change of magnetic flux (dÏ•/dt)
  • Induced emf, E is proportional to the square of the rate of change of magnetic flux (dÏ•/dt)^2
  • Induced emf, E is proportional to the rate of change of magnetic flux (dÏ•/dt) (correct)

What is Lenz's Law based on?

<p>Lenz's Law is based on energy conservation (B)</p> Signup and view all the answers

What does the induced current in a circuit depend on?

<p>The net change in flux (Φ2 - Φ1) (A)</p> Signup and view all the answers

What does the formula E = -N(dϕ/dt) represent in electromagnetic induction?

<p>Induced emf (B)</p> Signup and view all the answers

What is the formula for induced EMF due to rotation of a conducting rod in a uniform magnetic field?

<p>E = Bωλ^2 (C)</p> Signup and view all the answers

Which formula represents the self-inductance of a circular coil?

<p>L = µ0N2A / (2R) (B)</p> Signup and view all the answers

What is the mutual inductance formula for two coaxial solenoids?

<p>M = µ0N1N2A/λ (B)</p> Signup and view all the answers

Which formula represents the induced EMF, current, and energy conservation in a rectangular loop moving in a non-uniform magnetic field with a constant velocity?

<p>W = (B1 - B2)λ^2v^2Δt / R (A)</p> Signup and view all the answers

What happens when the current in a coil is changed?

<p>An induced e.m.f. is produced (A)</p> Signup and view all the answers

What does the formula E = -L dI/dt represent?

<p>Self-inductance (C)</p> Signup and view all the answers

What phenomenon occurs when changing the current in one coil induces an e.m.f. in another nearby coil?

<p>Mutual induction (C)</p> Signup and view all the answers

What is the formula for self inductance of a solenoid?

<p>L = (µ0n²A) / (2l) (A)</p> Signup and view all the answers

Flashcards are hidden until you start studying

Study Notes

Magnetic Flux and Faraday's Laws

  • The formula for magnetic flux through a plane of area dA placed in a uniform magnetic field B is not specified, but it's likely Φ = B × dA.
  • When there is a change in the magnetic flux linked with a circuit over time, an electromotive force (EMF) is induced in the circuit, according to Faraday's First Law of Electromagnetic Induction.

Faraday's Second Law

  • The induced EMF is proportional to the rate of change of magnetic flux, according to Faraday's Second Law.

Lenz's Law and Induced Current

  • Lenz's Law is based on the concept that an induced current will flow in a direction that opposes the change in magnetic flux.
  • The induced current in a circuit depends on the rate of change of magnetic flux and the number of turns of the coil.

Electromagnetic Induction Formulas

  • The formula E = -N(dÏ•/dt) represents the induced EMF due to a change in magnetic flux over time.
  • The formula for induced EMF due to rotation of a conducting rod in a uniform magnetic field is not specified, but it's likely EMF = BLv.
  • The formula for self-inductance of a circular coil is not specified, but it's likely L = μ × N^2 × A / l.
  • The mutual inductance formula for two coaxial solenoids is M = μ × N1 × N2 × A / l.
  • The formula for induced EMF, current, and energy conservation in a rectangular loop moving in a non-uniform magnetic field with a constant velocity is not specified.

Self-Inductance and Mutual Inductance

  • When the current in a coil is changed, a back EMF is induced that opposes the change in current.
  • The formula E = -L dI/dt represents the induced EMF due to self-inductance.
  • Changing the current in one coil can induce an electromotive force (EMF) in another nearby coil, a phenomenon known as mutual inductance.
  • The formula for self-inductance of a solenoid is L = μ × N^2 × A / l.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Browser