How many times should the inductance be reduced in order for the energy of the magnetic field to decrease by 5 times?

To calculate the required decrease in inductance, we use the ratio: k = Wn / Wk = (Ln * I ^ 2/2) / (Lk * I ^ 2/2) = Ln / Lk, whence we express: Lk = Ln / k.

Variable ratios: k – decrease in the energy of the magnetic field (k = 5 p).

Calculation: Lk = Ln / k = Ln / 5.

Answer: The inductance needs to be reduced by 5 times.



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