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There are two stationary coils near each other. If current in coil-1 is changing with time, relationship of current in coil-2 to it's emf is described by
  • a)
    Alternating Inductance
  • b)
    Self Inductance
  • c)
    Variable Inductance
  • d)
    Mutual Inductance.
Correct answer is option 'D'. Can you explain this answer?
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There are two stationary coils near each other. If current in coil-1 i...
The relationship of current in coil-2 to its emf is described by Mutual Inductance.

Explanation:


Mutual Inductance:

Mutual inductance is a phenomenon that occurs when two coils are placed near each other and the changing current in one coil induces an electromotive force (emf) in the other coil. It is a measure of the amount of mutual influence between the two coils.

Coil-1:

When the current in coil-1 changes with time, it produces a changing magnetic field around it. This changing magnetic field induces an emf in coil-1 itself, which is known as self-inductance. However, due to the proximity of coil-2, the changing magnetic field also induces an emf in coil-2.

Coil-2:

The induced emf in coil-2 depends on the rate of change of current in coil-1 and the mutual inductance between the two coils. The mutual inductance is a property of the two coils and is determined by factors such as the number of turns in each coil, the geometry of the coils, and the distance between them.

Current in Coil-2:

The current in coil-2 is directly related to the induced emf in coil-2. If the changing current in coil-1 produces a larger induced emf in coil-2, the current in coil-2 will also be larger. Similarly, if the changing current in coil-1 produces a smaller induced emf in coil-2, the current in coil-2 will be smaller.

Conclusion:

Therefore, the relationship between the current in coil-2 and its induced emf is described by mutual inductance. Mutual inductance plays a crucial role in various applications, such as transformers, inductors, and electromagnetic devices. It allows for the transfer of energy and signals between different coils without direct electrical contact, enabling efficient and versatile electrical systems.
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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?

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