The magnetic field energy of the coil W = 12.8 J. Determine the self-induction flux linkage

The magnetic field energy of the coil W = 12.8 J. Determine the self-induction flux linkage and the inductance of the coil if the current in it is I = 6.4A.

Initial data: Wm (coil magnetic field energy) = 12.8 J; I (coil current) = 6.4 A.

1) Calculate the inductance of the coil from the formula:

Wm = L * I ^ 2/2.

L = 2 * Wm / I ^ 2 = 2 * 12.8 / 6.4 ^ 2 = 0.625 H.

2) Define the self-induction flux linkage:

ψ = L * I = 0.625 * 6.4 = 4 Wb.

Answer: The self-induction flux linkage of the coil is 4 Wb, the inductance of the coil is 0.625 H.



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