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A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil? From NCERT Physics 12 textbook, Chapter EMI, example: 6.9
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A pair of adjacent coils has a mutual inductance of 1.5 H. If the curr...
The Problem:

A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil?

Explanation:

To solve this problem, we need to understand the concept of mutual inductance and how it relates to the change in current and flux linkage between two coils.

Mutual Inductance:

Mutual inductance is a property of two coils that are in close proximity to each other. It measures the ability of one coil to induce a voltage in the other coil when the current in the first coil changes. It is denoted by the symbol M and is measured in henries (H).

The mutual inductance between two coils depends on the number of turns in each coil, the size and shape of the coils, and their relative positions. In this problem, we are given that the mutual inductance between the two coils is 1.5 H.

Change in Current and Flux Linkage:

When the current in one coil changes, it induces a change in flux in the other coil. This change in flux is directly proportional to the change in current and the mutual inductance between the coils.

The formula to calculate the change in flux linkage is given by:

ΔΦ = M * ΔI

Where:
ΔΦ is the change in flux linkage
M is the mutual inductance
ΔI is the change in current

Calculating the Change in Flux Linkage:

In this problem, the current in one coil changes from 0 to 20 A in 0.5s. We can calculate the change in flux linkage using the formula mentioned above:

ΔΦ = 1.5 H * (20 A - 0 A)

Simplifying the equation, we get:

ΔΦ = 1.5 H * 20 A

ΔΦ = 30 Wb (Weber)

Therefore, the change in flux linkage with the other coil is 30 Weber.

Conclusion:

The change in flux linkage with the other coil is 30 Weber when the current in one coil changes from 0 to 20 A in 0.5s.
Community Answer
A pair of adjacent coils has a mutual inductance of 1.5 H. If the curr...
since, N2ø2= Mi= Ø2 {Ø2= flux linkage}=>. ∆Ø2 = M∆i= 1.5×20= 30Wb
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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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A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil? From NCERT Physics 12 textbook, Chapter EMI, example: 6.9
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A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil? From NCERT Physics 12 textbook, Chapter EMI, example: 6.9 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 A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil? From NCERT Physics 12 textbook, Chapter EMI, example: 6.9 covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil? From NCERT Physics 12 textbook, Chapter EMI, example: 6.9.
Solutions for A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 20 A in 0.5s, what is the change of flux linkage with the other coil? From NCERT Physics 12 textbook, Chapter EMI, example: 6.9 in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
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