Construction Formula Cylindrical coil [3] $L = \frac{\mu_0 K N^2 A}{l}$ Straight wire conductor $L = l \left( ln \frac{4l}{d} - 1 \right) \cdot 200 \times 10^{-9}$ $L = 5.08 \cdot l \left( ln \frac{4l}{d} - 1 \right)$ Dimensions • L = inductance in henries (H) • $\mu_0$ = permeability of free space = $4 \pi \times 10^{-7}$ H/m • K = Nagaoka coefficient [3] • N = number of turns • A = area of cross-section of the coil in square metres (m²) • l = length of coil in metres (m) • L = inductance (H) • l = length of conductor (m) • d = diameter of conductor (m) • L = inductance (nH) • l = length of conductor (in) • d = diameter of conductor (in)
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Answer the following questions: 1. A 1.0 A current passes through a 10 mH inductor coil. What potential difference is induced across the coil if the current drops to zero in 5.0 μs? 2. A 1.0 A current passes through an inductor coil connected across a 2000 V supply. What is the inductance of the coil if the current drops to zero in 5.0 μs? 3. A 1 H inductor carries 10 A, and a 10 H inductor carries 1 A. Which inductor contains more stored energy? Explain your answer. 4. In a particular circuit, assume that ε = 12V, R = 40 Ω, and L = 5 mH. How much energy is stored in the inductor's magnetic field when the current reaches its maximum steady-state value?
The inductor arrangement of Fig. $30-61,$ with $L_{1}=30.0 \mathrm{mH}, L_{2}=$ $50.0 \mathrm{mH}, L_{3}=20.0 \mathrm{mH},$ and $L_{4}=$ $15.0 \mathrm{mH}, \quad \mathrm{is}$ to be connected to a a varying current source. What is the equivalent inductance of the arrangement? (First see Problems 47 and $48 . )$
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