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The question and some of the comments overlook the significance of the coil which has both a resistance R an inductive reactance (2 pi f L). Basic AC theory explains that a coil has inductive reactance "resists" changes in current such as continually occur when there is an alternating voltage supply, but has no effect on a direct current. The direct current ...


First, the formula as written isn't dimensionally consistent and so, cannot be correct. The correct formula$^1$ is $$\frac{V_p}{I_p}= \sqrt{R^2_{coil} + (2\pi f L)^2 }$$ Now, this formula assumes sinusoidal (AC) voltage and current. Given a frequency $f$, the peak voltage across and peak current through are related by this formula. Ordinarily, to test ...

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