Electromagnetic Induction Formulas and Notes
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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 (dϕ/dt)
  • Induced emf, E is equal to the rate of change of magnetic flux (dϕ/dt)
  • Induced emf, E is proportional to the square of the rate of change of magnetic flux (dϕ/dt)^2
  • Induced emf, E is proportional to the rate of change of magnetic flux (dϕ/dt) (correct)

    • What is Lenz's Law based on?

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

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

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

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

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

    What is the mutual inductance formula for two coaxial solenoids?

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

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

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

    What is the formula for self inductance of a solenoid?

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

    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(dϕ/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.

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    Description

    Learn about important terms, definitions, and formulas related to electromagnetic induction, including magnetic flux and Faraday’s Law. This quiz provides an overview of key concepts and equations in the topic of electromagnetic induction.

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