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Coefficient of mutual induction is the ratio of
  • a)
    Induced e.m.f in primary coil to the rate of change of current in secondary coil
  • b)
    Induced e.m.f in primary coil to the rate of change of current in primary coil
  • c)
    Induced e.m.f in seconday coil to the rate of change of current in primary coil
  • d)
    Induced e.m.f in seconday coil to the rate of change of current in secondary coil
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Coefficient of mutual induction is the ratio ofa)Induced e.m.f in prim...
Coefficient of mutual induction is defined as the ratio of magnetic flux in coil 2 to the current in coil.
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Coefficient of mutual induction is the ratio ofa)Induced e.m.f in prim...
C should be the answer e in sec cool =M×rate of change in current in primary coil
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Coefficient of mutual induction is the ratio ofa)Induced e.m.f in prim...
The coefficient of mutual induction (M) is a measure of the ability of one coil to induce an electromotive force (emf) in another coil when the current in the first coil changes. It is defined as the ratio of the induced emf in the primary coil to the rate of change of current in the primary coil.

Explanation:
- Mutual Induction: Mutual induction occurs when the changing current in one coil induces an emf in an adjacent coil. This phenomenon is based on Faraday's law of electromagnetic induction, which states that a changing magnetic field induces an emf in a nearby conductor.
- Coefficient of Mutual Induction: The coefficient of mutual induction (M) quantifies the strength of this mutual induction. It is a property of the two coils and depends on their geometry and arrangement.
- Induced emf in Primary Coil: When the current in the primary coil changes, a changing magnetic field is produced. This changing magnetic field induces an emf in the primary coil itself. This self-induced emf can be calculated using Faraday's law.
- Rate of Change of Current in Primary Coil: The rate of change of current in the primary coil refers to how fast the current is changing with time. It can be measured in amperes per second (A/s) or other similar units.
- Ratio of Induced emf to Rate of Change of Current: The coefficient of mutual induction (M) is defined as the ratio of the induced emf in the primary coil to the rate of change of current in the primary coil. Mathematically, it can be expressed as M = (Induced emf in primary coil) / (Rate of change of current in primary coil).
- Significance of Coefficient of Mutual Induction: The coefficient of mutual induction determines how efficiently one coil can induce an emf in another coil. It plays a crucial role in the operation of transformers and other devices based on mutual induction.

In conclusion, the coefficient of mutual induction is the ratio of the induced emf in the primary coil to the rate of change of current in the primary coil. It quantifies the ability of one coil to induce an emf in another coil when the current in the first coil changes.
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Read the following text and answer the following questions on the basis of the same: Spark coil The principle of electromagnetic induction was discovered by Michael Faraday in 1831. Induction coils were used widely in electrical experiments and for medical therapy during the last half of the 19th century, eventually leading to the development of radio in the 1890's. The spark coil designed on the principle of electromagnetic induction was the heart of the earliest radio transmitters. Marconi used a spark coil designed by Heinrich Rhumkorff in his early experiments. An induction coil or "spark coil" is a type of electrical transformer used to produce high-voltage pulses from a low-voltage (DC) supply. To create the flux changes necessary to induce voltage in the secondary coil, the direct current in the primary coil is repeatedly interrupted by a vibrating mechanical contact called interrupter.The spark scoil consists of two coils of insulated wire wound around a common iron core. One coil, called the primary coil, is made from relatively few (tens or hundreds) turns of coarse wire. The other coil, the secondary coil typically consists of up to a million turns of fine wire (up to 40 gaug e). An electric current is passed through the primary, creating a magnetic field. Because of the common core, most of the primary's flux couples with the secondary. When the primary current is suddenly interrupted, the magnetic field rapidly collapses. This causes a high voltage pulse to be developed across the secondary terminals due to electromagnetic induction. Because of the large number of turns in the secondary coil, the secondary voltage pulse is typically many thousands of volts. This voltage is sufficient to create an electric spark, to jump across an air gap separating the secondary's output terminals. For this reason, this induction coils are also called spark coils. To operate the coil continually, the DC supply current must be repeatedly connected and disconnected. To do that, a magnetically activated vibrating arm called an interrupter is used which rapidly connects and breaks the current flowing into the primary coil. The interrupter is mounted on the end of the coil next to the iron core. When the power is turned on, the produced magnetic field attracts the armature. When the armature has moved far enough, contacts in the primary circuit breaks and disconnects the primary current. Disconnecting the current causes the magnetic field to collapse and create the spark. A short time later the contacts reconnect, and the process repeats. An arc which may form at the interrupter contacts is undesirable. To prevent this, a capacitor of 0.5 to 15 μF is connected across the primary coil.Why most of the primary's flux couples with the secondary in spark coil?

Read the following text and answer the following questions on the basis of the same:Spark coil The principle of electromagnetic induction was discovered by Michael Faraday in 1831. Induction coils were used widely in electrical experiments and for medical therapy during the last half of the 19th century, eventually leading to the development of radio in the 1890's. The spark coil designed on the principle of electromagnetic induction was the heart of the earliest radio transmitters. Marconi used a spark coil designed by Heinrich Rhumkorff in his early experiments. An induction coil or "spark coil" is a type of electrical transformer used to produce high-voltage pulses from a low-voltage (DC) supply. To create the flux changes necessary to induce voltage in the secondary coil, the direct current in the primary coil is repeatedly interrupted by a vibrating mechanical contact called interrupter.The spark scoil consists of two coils of insulated wire wound around a common iron core. One coil, called the primary coil, is made from relatively few (tens or hundreds) turns of coarse wire. The other coil, the secondary coil typically consists of up to a million turns of fine wire (up to 40 gaug e). An electric current is passed through the primary, creating a magnetic field. Because of the common core, most of the primary's flux couples with the secondary. When the primary current is suddenly interrupted, the magnetic field rapidly collapses. This causes a high voltage pulse to be developed across the secondary terminals due to electromagnetic induction. Because of the large number of turns in the secondary coil, the secondary voltage pulse is typically many thousands of volts. This voltage is sufficient to create an electric spark, to jump across an air gap separating the secondary's output terminals. For this reason, this induction coils are also called spark coils. To operate the coil continually, the DC supply current must be repeatedly connected and disconnected. To do that, a magnetically activated vibrating arm called an interrupter is used which rapidly connects and breaks the current flowing into the primary coil. The interrupter is mounted on the end of the coil next to the iron core. When the power is turned on, the produced magnetic field attracts the armature. When the armature has moved far enough, contacts in the primary circuit breaks and disconnects the primary current. Disconnecting the current causes the magnetic field to collapse and create the spark. A short time later the contacts reconnect, and the process repeats. An arc which may form at the interrupter contacts is undesirable. To prevent this, a capacitor of 0.5 to 15 μF is connected across the primary coil.Which of the following statements is correct?

Read the following text and answer the following questions on the basis of the same: Spark coil The principle of electromagnetic induction was discovered by Michael Faraday in 1831. Induction coils were used widely in electrical experiments and for medical therapy during the last half of the 19th century, eventually leading to the development of radio in the 1890's. The spark coil designed on the principle of electromagnetic induction was the heart of the earliest radio transmitters. Marconi used a spark coil designed by Heinrich Rhumkorff in his early experiments. An induction coil or "spark coil" is a type of electrical transformer used to produce high-voltage pulses from a low-voltage (DC) supply. To create the flux changes necessary to induce voltage in the secondary coil, the direct current in the primary coil is repeatedly interrupted by a vibrating mechanical contact called interrupter.The spark scoil consists of two coils of insulated wire wound around a common iron core. One coil, called the primary coil, is made from relatively few (tens or hundreds) turns of coarse wire. The other coil, the secondary coil typically consists of up to a million turns of fine wire (up to 40 gaug e). An electric current is passed through the primary, creating a magnetic field. Because of the common core, most of the primary's flux couples with the secondary. When the primary current is suddenly interrupted, the magnetic field rapidly collapses. This causes a high voltage pulse to be developed across the secondary terminals due to electromagnetic induction. Because of the large number of turns in the secondary coil, the secondary voltage pulse is typically many thousands of volts. This voltage is sufficient to create an electric spark, to jump across an air gap separating the secondary's output terminals. For this reason, this induction coils are also called spark coils. To operate the coil continually, the DC supply current must be repeatedly connected and disconnected. To do that, a magnetically activated vibrating arm called an interrupter is used which rapidly connects and breaks the current flowing into the primary coil. The interrupter is mounted on the end of the coil next to the iron core. When the power is turned on, the produced magnetic field attracts the armature. When the armature has moved far enough, contacts in the primary circuit breaks and disconnects the primary current. Disconnecting the current causes the magnetic field to collapse and create the spark. A short time later the contacts reconnect, and the process repeats. An arc which may form at the interrupter contacts is undesirable. To prevent this, a capacitor of 0.5 to 15 μF is connected across the primary coil.What is the function of interrupter in a spark coil?

Coefficient of mutual induction is the ratio ofa)Induced e.m.f in primary coil to the rate of change of current in secondary coilb)Induced e.m.f in primary coil to the rate of change of current in primary coilc)Induced e.m.f in seconday coil to the rate of change of current in primary coild)Induced e.m.f in seconday coil to the rate of change of current in secondary coilCorrect answer is option 'B'. Can you explain this answer?
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Coefficient of mutual induction is the ratio ofa)Induced e.m.f in primary coil to the rate of change of current in secondary coilb)Induced e.m.f in primary coil to the rate of change of current in primary coilc)Induced e.m.f in seconday coil to the rate of change of current in primary coild)Induced e.m.f in seconday coil to the rate of change of current in secondary coilCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Coefficient of mutual induction is the ratio ofa)Induced e.m.f in primary coil to the rate of change of current in secondary coilb)Induced e.m.f in primary coil to the rate of change of current in primary coilc)Induced e.m.f in seconday coil to the rate of change of current in primary coild)Induced e.m.f in seconday coil to the rate of change of current in secondary coilCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficient of mutual induction is the ratio ofa)Induced e.m.f in primary coil to the rate of change of current in secondary coilb)Induced e.m.f in primary coil to the rate of change of current in primary coilc)Induced e.m.f in seconday coil to the rate of change of current in primary coild)Induced e.m.f in seconday coil to the rate of change of current in secondary coilCorrect answer is option 'B'. Can you explain this answer?.
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