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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?
What is the purpose of placing a dot in the circuit at one end of each magnetically coupled coil?
What is the reference polarity of the mutual voltage dependent on?
What is the reference polarity of the mutual voltage dependent on?
In Fig. 5(a), what is the sign of the mutual voltage v2?
In Fig. 5(a), what is the sign of the mutual voltage v2?
What is the total inductance of the coils in Fig. 6(a)?
What is the total inductance of the coils in Fig. 6(a)?
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What is the significance of the dot convention in coupled coils?
What is the significance of the dot convention in coupled coils?
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What is the relationship between the direction of the inducing current and the polarity of the mutual voltage?
What is the relationship between the direction of the inducing current and the polarity of the mutual voltage?
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What is the application of the dot convention in Fig. 5?
What is the application of the dot convention in Fig. 5?
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What is the purpose of the dot convention in mutual inductance?
What is the purpose of the dot convention in mutual inductance?
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What is the unit of measurement for mutual inductance?
What is the unit of measurement for mutual inductance?
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What is the condition for mutual coupling to exist?
What is the condition for mutual coupling to exist?
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What is the polarity of the mutual voltage M di/dt?
What is the polarity of the mutual voltage M di/dt?
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What is the purpose of the dot convention in circuit analysis?
What is the purpose of the dot convention in circuit analysis?
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What is the effect of a time-varying current in another circuit on a coil?
What is the effect of a time-varying current in another circuit on a coil?
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What is the relationship between M12 and M21?
What is the relationship between M12 and M21?
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Why is it difficult to determine the polarity of the mutual voltage M di/dt?
Why is it difficult to determine the polarity of the mutual voltage M di/dt?
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What is the effect of mutual inductance on the behavior of inductors?
What is the effect of mutual inductance on the behavior of inductors?
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What is the term for the inductance of an inductor due to the current flowing through it?
What is the term for the inductance of an inductor due to the current flowing through it?
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When two coils are in close proximity, what is the result of the magnetic flux emanating from one coil?
When two coils are in close proximity, what is the result of the magnetic flux emanating from one coil?
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What is the term for the inductance of one coil with respect to another coil?
What is the term for the inductance of one coil with respect to another coil?
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According to Faraday's law of induction, what is the cause of the voltage induced in a coil?
According to Faraday's law of induction, what is the cause of the voltage induced in a coil?
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What is the component of the magnetic flux that links both coils?
What is the component of the magnetic flux that links both coils?
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What is the voltage induced in coil 2 due to the current flowing in coil 1?
What is the voltage induced in coil 2 due to the current flowing in coil 1?
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What is the relationship between the magnetic flux and the current flowing through a coil?
What is the relationship between the magnetic flux and the current flowing through a coil?
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What is the direction of the induced voltage in a coil due to a changing magnetic flux?
What is the direction of the induced voltage in a coil due to a changing magnetic flux?
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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.