How will the energy of the magnetic field of the coil change with an increase in its inductance 3 times
| February 10, 2021 | education
How will the energy of the magnetic field of the coil change with an increase in its inductance 3 times and a decrease in its current strength by 3 times …
The magnetic field energy of the coil W is determined by the formula:
W = LI² / 2, where L – inductance, I – current.
If the inductance is increased three times, and the current is reduced three times, then we get energy:
W₁ = ((L * 3) * (I / 3) ²) / 2 = 3LI² / (2 * 9) = LI² / 6;
W / W₁ = (LI² / 2) / (LI² / 6) = 3;
W₁ = W / 3.
Answer: will decrease by 3 times.
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