What does mutual inductance depend on?
A. Resistance between the coils
B. Coupling coefficient and inductances
C. Voltage across the coils
D. Capacitance of the system
Answer (2)
Mutual inductance depends primarily on the coupling coefficient and the individual inductances of the coils involved. The coupling coefficient measures how well the coils interact magnetically, while the inductances contribute to the strength of that interaction. Thus, the correct answer is option B: Coupling coefficient and inductances.
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Mutual inductance is a fundamental concept in electromagnetism, which is part of Physics. It refers to the ability of one inductor to induce a voltage across a neighboring inductor through the process of electromagnetic induction. The mutual inductance, denoted usually by M , is a measure of how effectively the magnetic field of one coil links with the other.
Mutual inductance depends on:
b) Coupling coefficient and inductances
Coupling Coefficient ( k ) : This is a dimensionless value that represents the fraction of the magnetic flux of one coil that is linked with the second coil. It ranges from 0 to 1, where 0 indicates no coupling, and 1 indicates perfect coupling. The closer the coils are coupled, the higher the mutual inductance.
Inductances of the Coils ( L 1 and L 2 ) : The mutual inductance also depends on the individual inductances of the coils, where L 1 is the inductance of the first coil and L 2 is the inductance of the second coil. Larger individual inductances lead to a higher ability for one coil to induce a voltage in the other.
The mathematical expression for mutual inductance is given by:
M = k L 1 ⋅ L 2
In summary, the correct answer is b) Coupling coefficient and inductances . These factors play a crucial role in determining how changes in current in one coil can induce a voltage in another coil. Understanding this dependency helps in designing efficient transformers, inductors, and other electrical devices. This topic is generally discussed in-depth at the college level in courses related to electromagnetism or electrical engineering."} प्रतिशत 11%11 साल का<|vq_729|>{
