Inductor Energy Density (Jee Mains)

Inductance

Medium

Inductor Energy Density

Inductance of a coil with 10⁴ turns is 10 mH and it is connected to a dc source of 10 V with internal resistance of 10Ω. The energy density in the inductor when the current reaches $\left( {\frac{1}{e}} \right)$ of its maximum value is $\alpha \pi \,\, \times \,\,\frac{1}{{{e^2}}}$ J/m³. The value of α is ___. (μ₀ = 4π × 10^–7 Tm/A).