Electromagnetic Induction Quiz
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Questions and Answers

A conducting loop is placed in a uniform magnetic field. The magnetic flux through the loop changes when:

  • The loop is rotated about an axis parallel to the magnetic field.
  • The magnetic field strength is increased. (correct)
  • The loop is moved in a direction perpendicular to the magnetic field.
  • The shape of the loop is changed while it is kept inside the field. (correct)
  • A thin conducting rod of length 'l' moves with a constant velocity 'v' in a uniform magnetic field 'B' perpendicular to the rod. The motional emf induced across the rod is given by:

  • Blv^2
  • Bl^2v
  • Bvl (correct)
  • B^2lv
  • A coil of N turns is rotated in a uniform magnetic field. The maximum emf induced in the coil occurs when:

  • The plane of the coil is perpendicular to the magnetic field.
  • The angle between the plane of the coil and the magnetic field is 60°.
  • The plane of the coil is parallel to the magnetic field. (correct)
  • The angle between the plane of the coil and the magnetic field is 45°.
  • A solenoid with N turns and length 'l' carries a current 'I'. The magnetic field inside the solenoid is given by:

    <p>μ0NI/l</p> Signup and view all the answers

    A conducting loop is placed near a long straight wire carrying a current. If the current in the wire is increased, the induced current in the loop will:

    <p>Flow in the opposite direction to the current in the wire.</p> Signup and view all the answers

    A bar magnet is moved towards a stationary conducting loop. The direction of the induced current in the loop is determined by:

    <p>The direction of motion of the magnet.</p> Signup and view all the answers

    A metal rod of length 'l' rotates with angular velocity 'ω' in a uniform magnetic field 'B' perpendicular to the plane of rotation. The motional emf induced across the ends of the rod is given by:

    <p>Bωl^2/2</p> Signup and view all the answers

    The phenomenon of self-induction is observed in:

    <p>An inductor.</p> Signup and view all the answers

    What is the relationship between the magnetic flux linked with each turn of a coil and the current flowing through it?

    <p>The magnetic flux linked increases with increasing current.</p> Signup and view all the answers

    What is the SI unit of the coefficient of self-inductance?

    <p>Henry (H)</p> Signup and view all the answers

    In the formula $L = \frac{NΦB}{I}$, what does L represent?

    <p>Coefficient of self-induction</p> Signup and view all the answers

    What occurs when the electric current in the primary coil changes?

    <p>An emf is induced in the secondary coil.</p> Signup and view all the answers

    What is the formula for the self-inductance L of a solenoid with a core?

    <p>L = μN²A / l</p> Signup and view all the answers

    What does the coefficient of mutual inductance M indicate?

    <p>The induced emf in the secondary coil when the rate of change of primary current is unity.</p> Signup and view all the answers

    What does the term 'N' represent in the self-inductance formula?

    <p>Number of turns in the coil.</p> Signup and view all the answers

    According to Faraday's law, what is the relationship between the induced emf and the rate of change of magnetic flux?

    <p>The induced emf is directly proportional to the rate of change of magnetic flux.</p> Signup and view all the answers

    Study Notes

    Electromagnetic Induction

    • Magnetic Flux: The product of the magnetic field strength (B) and the area (A) of a surface perpendicular to the field. Measured in webers (Wb). Formula: Φ = B⋅A

    • Faraday's Law of Electromagnetic Induction (First Law): A changing magnetic flux through a circuit sets up an induced electromotive force (emf) whose magnitude is equal to the rate of change of magnetic flux.

    Formula: ε = -ΔΦ/Δt

    • Faraday's Law of Electromagnetic Induction (Second Law): The direction of the induced current is such that it opposes the change producing it (Lenz's Law).

    • Induced Current: If the circuit is closed, the induced emf will drive an induced current through the circuit.

    Formula: I = ε/R (where R is total resistance)

    Motional EMF

    • A moving conductor in a magnetic field experiences a motional EMF.

    Formula: ε = Bvl

    • Where B is the magnetic field, v is the velocity of the conductor, and l is the length of the conductor in the field

    Self-Induction

    • Self-Induction: The phenomenon of electromagnetic induction in a coil in which a changing current in the coil itself induces an opposing self-induced emf.

    • Coefficient of Self-Induction (Inductance): A property of a coil that measures the opposition it offers to changes in the current flowing through it. Represented by the symbol L. Measured in henries (H).

    Formula: L = NΦ/I

    Mutual Induction

    • Mutual Induction: The phenomenon of inducing an emf in one coil due to a change in current flowing in a nearby coil.

    • Coefficient of Mutual Induction (M): A measure of the degree to which two coils interact magnetically. Measured in henries (H).

    Eddy Currents

    • Eddy Currents: Induced currents that circulate within a conductor in response to a changing magnetic field.

    • Disadvantages: Eddy currents generate heat, leading to energy loss and overheating.

    • Methods to Reduce Eddy Currents: Using laminated materials (thin layers insulated) or creating holes/slits to reduce the area available for eddy current flow. This limits current paths.

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    Description

    Test your knowledge on the principles of electromagnetic induction. This quiz covers topics such as induced emf in conducting rods, coils, and the effects of magnetic fields on current-carrying loops. Perfect for students studying physics.

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