Which one of the following is a valid value of the coefficient of cou...
Valid value of the coefficient of coupling between two inductors
The coefficient of coupling between two inductors, represented by the symbol k, is a measure of the magnetic coupling between the two inductors. It determines the extent to which the magnetic field produced by one inductor links with the other inductor. The valid range of values for the coefficient of coupling is between 0 and 1.
Explanation:
Let's analyze each option to determine the valid value of the coefficient of coupling:
a) 1.414: This value is √2, which is greater than 1. Since the coefficient of coupling should be between 0 and 1, this value is not valid.
b) 0.9: This value is between 0 and 1, which means it falls within the valid range for the coefficient of coupling. Therefore, this option is the correct answer.
c) 1.732: This value is √3, which is greater than 1. Again, since the coefficient of coupling should be between 0 and 1, this value is not valid.
d) 17.32: This value is much greater than 1, and the coefficient of coupling cannot exceed 1. Therefore, this value is not valid.
Conclusion:
Among the given options, the valid value for the coefficient of coupling between two inductors is 0.9.