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Sep 2
Mutual inductance is a phenomenon in which a changing current in one coil induces an electromotive force (EMF) in another nearby coil. This effect occurs due to the magnetic field generated by the changing current in the first coil, which then interacts with the second coil to induce a voltage. Mutual inductance is a key principle in the operation of transformers and other electrical devices.
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Google Gemini AI
Sep 2
Mutual Inductance
Mutual inductance is a measure of how two or more inductors (coils) influence each other's magnetic fields and store magnetic energy in a way that is dependent on the current flowing through both inductors.
Definition:
Mutual inductance (M) is a physical property of a pair or more inductors (coils) that defines the ratio of the electromotive force (emf) induced in one inductor to the rate of change of current in the other inductor.
Mathematical Expression:
```
M = emf / (dI/dt)
```
where:
- M is the mutual inductance in henrys (H)
- emf is the electromotive force (voltage) induced in one inductor in volts (V)
- dI/dt is the rate of change of current in the second inductor in amperes per second (A/s)
Key Points:
- Mutual coupling: Mutual inductance occurs when two or more inductors are physically close enough for their magnetic fields to interact.
- Sign of mutual inductance: The sign of mutual inductance indicates the direction of the induced emf. If the emf opposes the change in current, the mutual inductance is positive; otherwise, it is negative.
- Unit of mutual inductance: The unit of mutual inductance is the henry (H). 1 H is the mutual inductance between two inductors when an emf of 1 V is induced in one inductor when the current in the other inductor changes by 1 A/s.
- Effect on magnetic energy storage: Mutual inductance modifies the total magnetic energy stored in a pair of coupled inductors compared to when they are isolated.
Mutual inductance is a measure of how two or more inductors (coils) influence each other's magnetic fields and store magnetic energy in a way that is dependent on the current flowing through both inductors.
Definition:
Mutual inductance (M) is a physical property of a pair or more inductors (coils) that defines the ratio of the electromotive force (emf) induced in one inductor to the rate of change of current in the other inductor.
Mathematical Expression:
```
M = emf / (dI/dt)
```
where:
- M is the mutual inductance in henrys (H)
- emf is the electromotive force (voltage) induced in one inductor in volts (V)
- dI/dt is the rate of change of current in the second inductor in amperes per second (A/s)
Key Points:
- Mutual coupling: Mutual inductance occurs when two or more inductors are physically close enough for their magnetic fields to interact.
- Sign of mutual inductance: The sign of mutual inductance indicates the direction of the induced emf. If the emf opposes the change in current, the mutual inductance is positive; otherwise, it is negative.
- Unit of mutual inductance: The unit of mutual inductance is the henry (H). 1 H is the mutual inductance between two inductors when an emf of 1 V is induced in one inductor when the current in the other inductor changes by 1 A/s.
- Effect on magnetic energy storage: Mutual inductance modifies the total magnetic energy stored in a pair of coupled inductors compared to when they are isolated.
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