A problem in mutual inductance

Thread starter RwandaGloria
Start date Jun 18, 2019
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Inductance Mutual inductance

In summary, mutual inductance is a phenomenon in which a changing magnetic field in one circuit induces a current in a nearby circuit, and is a key principle in electromagnetic induction. It is used in various real-world applications such as transformers, electric motors, and wireless charging. The value of mutual inductance can be calculated using the equation M = N1N2Φ / I1 and is affected by factors such as the number of turns, distance, and material of the circuits. While it can cause problems in circuits due to unwanted coupling, it can also be utilized in circuit design.

Jun 18, 2019

RwandaGloria

Homework Statement: Two magnetically coupled could have a mutual inductance of 32mH. What is the average emf induced in one if the current in one if the current through the other changes from 3 to 15mA in 0.004s. Given that the coil has the number of turns in another. Calculate the inductance in each coil. Thank you.

Relevant Equations: average induced emf= 96x10^-3

I have gotten my average induced emf to be 96 x 10^-3V using the formula, e=Nx(∆I)/t but the problem lies in calculating the inductances.

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Jun 20, 2019

rude man

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Your phraseology is so poor that I have no idea what your question really is.
In general: what is the induced emf in one winding if the other winding experiences a given rate of change of current?

1. What is mutual inductance?

Mutual inductance is a phenomenon that occurs when the changing magnetic field of one coil induces an electromotive force (EMF) in another nearby coil. This is also known as electromagnetic induction.

2. How does mutual inductance affect circuit performance?

Mutual inductance can cause unwanted voltage spikes or fluctuations in circuits, which can lead to malfunctions or damage. However, it can also be utilized in transformer and induction coil designs for efficient energy transfer.

3. What factors affect the magnitude of mutual inductance?

The magnitude of mutual inductance is affected by the number of turns in the coils, the distance between the coils, and the permeability of the medium between the coils. It is also influenced by the angle and orientation of the coils relative to each other.

4. How can mutual inductance be calculated?

Mutual inductance can be calculated using the equation M = kL1L2, where M is the mutual inductance, k is the coupling coefficient, and L1 and L2 are the self-inductances of the two coils. The coupling coefficient can be determined experimentally or estimated based on the geometry and orientation of the coils.

5. How can mutual inductance be mitigated in circuits?

To mitigate the effects of mutual inductance in circuits, techniques such as shielding, twisting or separating the wires, and using ferrite cores can be employed. These methods reduce the coupling between the coils and minimize the unwanted voltage spikes or fluctuations.