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Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon the:
  • a)
    rate at which current change in the two coils
  • b)
    relative position and orientation of the coils
  • c)
    rate at which voltage induced across two coils
  • d)
    currents in the two coils
Correct answer is option 'B'. Can you explain this answer?
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Two coils are placed close to each other. The mutual inductance of the...
Mutual inductance of a pair of two coils depends on the relative position and orientation of two coils.
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Two coils are placed close to each other. The mutual inductance of the...
Explanation:


When two coils are placed close to each other, the magnetic field produced by one coil will intersect the other coil. This will induce a voltage in the second coil. The mutual inductance of the pair of coils is a measure of the strength of this coupling. It is defined as the ratio of the induced voltage in one coil to the rate of change of current in the other coil.




Factors affecting mutual inductance:

  • Relative position: The mutual inductance depends on the relative position and orientation of the two coils. If the coils are parallel and close to each other, the coupling will be stronger than if they are far apart or at an angle.

  • Number of turns: The mutual inductance also depends on the number of turns in each coil. The more turns there are, the stronger the coupling will be.

  • Size of coils: The size of the coils also affects the mutual inductance. Larger coils will have a stronger coupling than smaller coils.

  • Permeability of the medium: The mutual inductance also depends on the permeability of the medium between the two coils. A higher permeability will result in a stronger coupling.






Conclusion:


In conclusion, the mutual inductance of a pair of coils depends on several factors, including the relative position and orientation of the coils, the number of turns in each coil, the size of the coils, and the permeability of the medium between them.
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Read the following text and answer the following questions on the basis of the same: TOROIDA toroid is a coil of insulated or enamelled wire wound on a donut-shaped form made of powdered iron. A toroid is used as an inductor in electronic circuits, especially at low frequencies where comparatively large inductances are necessary. A toroid has more inductance , for a given number of turns, than a solenoid with a core of the same material and similar size. This makes it possible to construct high-inductance coils of reasonable physical size and mass. Toroidal coils of a given inductance can carry more current than solenoidal coils of similar size, because larger-diameter wires can be used, and the total amount of wire is less, reducing the resistance . In a toroid, all the magnetic flux is contained in the core material. This is because the core has no ends from which flux might leak off. The confinement of the flux prevents external magnetic fields from affecting the behaviour of the toroid, and also prevents the magnetic field in the toroid from affecting other components in a circuit. Standard toroidal transformers typically offer a 95% efficiency, while standard laminated transformers typically offer less than a 90% rating. One of the most important differences between a toroidal transformer and a traditional laminated transformer is the absence of gaps. The leakage flux through the gaps contributes to the stray losses in the form of eddy currents (which is also expelled in the form of heat). A toroidal core doesn’t have an air gap. The core is tightly wound . The result is a stable, predictable toroidal core, free from discontinuities and holes. Audible vibration or hum in transformers is caused by vibration of the windings and core layers from the forces between the coil turns and core laminations. The toroidal transformer’s construction helps quiet this noise. In audio, or signal transmitting applications, unwarranted noise will affect sound quality, so a transformer with low audible vibration is ideal. For this reason, many sound system engineers prefer to use a toroidal transformer instead of a traditional laminated transformer.Why inductance of solenoid is more than the inductance of a solenoid having same number of turns, core of same material and similar size?

Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon the:a)rate at which current change in the two coilsb)relative position and orientation of the coilsc)rate at which voltage induced across two coilsd)currents in the two coilsCorrect answer is option 'B'. Can you explain this answer?
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Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon the:a)rate at which current change in the two coilsb)relative position and orientation of the coilsc)rate at which voltage induced across two coilsd)currents in the two coilsCorrect 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 Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon the:a)rate at which current change in the two coilsb)relative position and orientation of the coilsc)rate at which voltage induced across two coilsd)currents in the two coilsCorrect 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 Two coils are placed close to each other. The mutual inductance of the pair of coils depends upon the:a)rate at which current change in the two coilsb)relative position and orientation of the coilsc)rate at which voltage induced across two coilsd)currents in the two coilsCorrect answer is option 'B'. Can you explain this answer?.
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