On a cylindrical rod two coils are wound one above the other. What is ...
As one coil is wound over the other so that coupling is tight i.e. k=1
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On a cylindrical rod two coils are wound one above the other. What is ...
The coefficient of mutual inductance, denoted by M, is a measure of the magnetic coupling between two coils. It determines the amount of magnetic flux produced by one coil that links with the other coil when a current flows through it.
Given that two coils are wound one above the other on a cylindrical rod, we need to find the coefficient of mutual inductance if the inductance of each coil is 0.1H.
To calculate the coefficient of mutual inductance, we can use the formula:
M = √(L1 * L2)
where L1 and L2 are the inductances of the two coils.
Given that L1 = L2 = 0.1H, we can substitute these values into the formula:
M = √(0.1 * 0.1)
M = √(0.01)
M = 0.1H
Therefore, the coefficient of mutual inductance is 0.1H, which corresponds to option D.
Explanation:
- The coefficient of mutual inductance is a measure of the magnetic coupling between two coils.
- It determines the amount of magnetic flux produced by one coil that links with the other coil when a current flows through it.
- The formula to calculate the coefficient of mutual inductance is M = √(L1 * L2), where L1 and L2 are the inductances of the two coils.
- Given that the inductance of each coil is 0.1H, we can substitute these values into the formula to find the coefficient of mutual inductance.
- By calculating, we find that the coefficient of mutual inductance is 0.1H, which corresponds to option D.