Electromagnetic Induction
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Questions and Answers

What is the formula for mutual inductance M in terms of the coefficient of permeability μ0, number of turns N1 and N2, and area of cross-section A?

  • M = μ0 N1 N2 / A l
  • M = μ0 N1 N2 A / l (correct)
  • M = μ0 N1 N2 A l
  • M = μ0 N1 N2 l / A

    • What is the effect on mutual inductance M when the distance d between the two coils increases?

  • M becomes zero
  • M remains constant
  • M increases
  • M decreases (correct)

    • What is the coefficient of coupling k in terms of mutual inductance M, self-inductance L1, and self-inductance L2?

  • k = M / (L1 + L2)
  • k = M / sqrt(L1 L2) (correct)
  • k = M / (L1 - L2)
  • k = M / (L1 L2)

    • What is the expression for the flux linked with the coil at any time t?

    <p>φ = NBAcosωt</p> Signup and view all the answers

    What is the net inductance LS when two magnetically coupled coils are connected in series and are far from each other?

    <p>LS = L1 + L2 + 2M</p> Signup and view all the answers

    What is the condition for maximum mutual inductance between two coils?

    <p>The coils are in close proximity to each other</p> Signup and view all the answers

    What is the coefficient of self-induction of a coil equal to?

    <p>The flux linked with the coil when the current in it is 1 amp</p> Signup and view all the answers

    What is the unit of coefficient of self-induction in the SI system?

    <p>Ohm × sec</p> Signup and view all the answers

    What is the expression for the induced emf in a coil?

    <p>e = -NBAωsinωt</p> Signup and view all the answers

    What is the relation between the number of flux linkages with the coil and the current i?

    <p>Nφ ∝ i</p> Signup and view all the answers

    What is the dimensional formula for self inductance (L)?

    <p>[ML2T–2A–2]</p> Signup and view all the answers

    What is the magnetic potential energy of an inductor?

    <p>U = (Li)i / 2</p> Signup and view all the answers

    What is the phenomenon where the magnetic flux linked with a neighbouring coil or circuit changes when the current passing through a coil or circuit changes?

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

    What is the unit of self inductance (L)?

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

    What is the formula for self inductance (L) for a coaxial cylinder?

    <p>L = μ0 * log(e) / (2 * π * r1)</p> Signup and view all the answers

    What is the purpose of the hair springs in the magnet mount?

    <p>To hold the magnet in place</p> Signup and view all the answers

    What is the direction of the force on AB in the given figure?

    <p>Perpendicular to the plane of the paper and pointing inwards</p> Signup and view all the answers

    What is the effect of the back emf in a motor?

    <p>It decreases the speed of the motor</p> Signup and view all the answers

    What is the purpose of the split ring commutators in the motor?

    <p>To reverse the direction of the current in the coil</p> Signup and view all the answers

    What is the relationship between the back emf and the angular velocity of the armature?

    <p>e ∝ ω</p> Signup and view all the answers

    What is the direction of motion of the loop if the cause of induced emf is relative motion?

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

    What is the nature of the induced electric field?

    <p>Non-conservative and non-electrostatic</p> Signup and view all the answers

    What is the shape of the field lines of the induced electric field?

    <p>Concentric circular closed curves</p> Signup and view all the answers

    What is the relationship between the induced emf and the induced electric field?

    <p>Induced emf is directly proportional to the induced electric field</p> Signup and view all the answers

    What is the direction of the repulsive force between the magnet and the loop if the loop is free to move?

    <p>Anticlockwise direction</p> Signup and view all the answers

    What happens when the speed of a magnet increases in a freely falling conducting rod?

    <p>Induced emf increases, but charge remains the same</p> Signup and view all the answers

    What is the relationship between the inductance at the ends of a solenoid and at its centre?

    <p>Inductance at the ends is half that at the centre</p> Signup and view all the answers

    Why is it difficult to obtain a pure resistor?

    <p>Because it always has some inductance and capacitance</p> Signup and view all the answers

    What is the condition for no flux cutting to occur?

    <p>When two vectors are parallel to each other</p> Signup and view all the answers

    What is the vector form of motional emf?

    <p>e = (v × B) ⋅ l</p> Signup and view all the answers

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