Mutual Inductance in Electricity
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Questions and Answers

What is the purpose of placing a dot in the circuit at one end of each magnetically coupled coil?

  • To measure the current in the coil
  • To indicate the direction of the magnetic flux (correct)
  • To determine the self-inductance of the coil
  • To calculate the total inductance of the circuit
  • What is the reference polarity of the mutual voltage dependent on?

  • The reference direction of the inducing current and the dots on the coupled coils (correct)
  • The total inductance of the circuit
  • The direction of the magnetic flux
  • The self-inductance of the coils
  • In Fig. 5(a), what is the sign of the mutual voltage v2?

  • M di2/dt
  • + M di1/dt (correct)
  • - M di1/dt
  • 0
  • What is the total inductance of the coils in Fig. 6(a)?

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

    What is the significance of the dot convention in coupled coils?

    <p>It determines the polarity of the mutual voltage</p> Signup and view all the answers

    What is the relationship between the direction of the inducing current and the polarity of the mutual voltage?

    <p>The direction of the inducing current determines the polarity of the mutual voltage</p> Signup and view all the answers

    What is the application of the dot convention in Fig. 5?

    <p>To determine the polarity of the mutual voltage</p> Signup and view all the answers

    What is the purpose of the dot convention in mutual inductance?

    <p>To determine the polarity of the mutual voltage</p> Signup and view all the answers

    What is the unit of measurement for mutual inductance?

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

    What is the condition for mutual coupling to exist?

    <p>The inductors are in close proximity and the circuits are driven by time-varying sources</p> Signup and view all the answers

    What is the polarity of the mutual voltage M di/dt?

    <p>May be negative or positive</p> Signup and view all the answers

    What is the purpose of the dot convention in circuit analysis?

    <p>To determine the polarity of the mutual voltage</p> Signup and view all the answers

    What is the effect of a time-varying current in another circuit on a coil?

    <p>It induces a voltage in the coil</p> Signup and view all the answers

    What is the relationship between M12 and M21?

    <p>M12 = M21</p> Signup and view all the answers

    Why is it difficult to determine the polarity of the mutual voltage M di/dt?

    <p>Because four terminals are involved</p> Signup and view all the answers

    What is the effect of mutual inductance on the behavior of inductors?

    <p>It produces a voltage in reaction to a time-varying current</p> Signup and view all the answers

    What is the term for the inductance of an inductor due to the current flowing through it?

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

    When two coils are in close proximity, what is the result of the magnetic flux emanating from one coil?

    <p>Magnetic coupling between the coils</p> Signup and view all the answers

    What is the term for the inductance of one coil with respect to another coil?

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

    According to Faraday's law of induction, what is the cause of the voltage induced in a coil?

    <p>A changing magnetic field</p> Signup and view all the answers

    What is the component of the magnetic flux that links both coils?

    <p>Ø12</p> Signup and view all the answers

    What is the voltage induced in coil 2 due to the current flowing in coil 1?

    <p>M12 di1/dt</p> Signup and view all the answers

    What is the relationship between the magnetic flux and the current flowing through a coil?

    <p>The magnetic flux is proportional to the current</p> Signup and view all the answers

    What is the direction of the induced voltage in a coil due to a changing magnetic flux?

    <p>In the opposite direction to the changing magnetic flux</p> Signup and view all the answers

    Study Notes

    Mutual Inductance

    • Mutual inductance (M) is the property of an inductor to produce a voltage in reaction to a time-varying current in another inductor near it.
    • Mutual inductance is measured in henrys (H) and is always a positive quantity.
    • The mutual voltage (M di/dt) can be negative or positive, depending on the orientation of the coils and the direction of the current.

    Mutual Inductance Between Two Coils

    • The mutual inductance of coil 1 with respect to coil 2 is denoted as M12.
    • The mutual inductance of coil 2 with respect to coil 1 is denoted as M21.
    • M12 and M21 are equal, and the mutual inductance between the two coils is referred to as M.

    Dot Convention

    • The dot convention is used to determine the polarity of the mutual voltage.
    • A dot is placed in the circuit at one end of each of the two magnetically coupled coils to indicate the direction of the magnetic flux.
    • The dot convention is used in conjunction with Lenz's law and the right-hand rule to determine the polarity of the mutual voltage.

    Application of Dot Convention

    • The dot convention is used to determine the polarity of the mutual voltage in coupled coils.
    • The polarity of the mutual voltage depends on the reference direction of the inducing current and the dots on the coupled coils.
    • Examples of the application of the dot convention are illustrated in Fig. 5.

    Coupled Coils in Series

    • The dot convention can be used to determine the total inductance of coupled coils in series.
    • The total inductance is given by Eq. (18) and Eq. (19) for series-aiding and series-opposing connections, respectively.

    Analysis of Circuits Involving Mutual Inductance

    • The dot convention is used to determine the polarity of the mutual voltage in circuits involving mutual inductance.
    • Examples of analyzing circuits involving mutual inductance are illustrated in Fig. 7.

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    Description

    Learn about mutual inductance, its measurement, and its effects on coils. Understand how it produces voltage in response to time-varying current.

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