The general form for the inductance of a solenoid (a long, straight coil of wire) is L = where µ is the magnetic permeability of the environment, N is the number of turns, A is the cross-section of the coil, and 1 is the length. Consider two inductor coils with N₁ = 200 turns and N₂ = 400 turns, wound around the same basic form so that they have the same length and cross- sectional area. The first coil is L₁ = 100µH, and they are arranged so that the coupling coefficient is 0.5. Assume they are surrounded by air (a linear magnetic medium), and Hair = 4π x 10-7. 1.- Find L2 and Lm. 2. A voltage source is connected to one of the inductors and a resistor to the other, as shown in the figure. Find... a. b. A The source current and resistor current. "The power in the resistor. L₁ 5V20° 20kHz L2 1002

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The general form for the inductance of a solenoid (a long, straight coil of wire) is L = HN²A/₁
where u is the magnetic permeability of the environment, N is the number of turns, A is the
cross-section of the coil, and I is the length. Consider two inductor coils with N₁ = 200 turns and
N₂ = 400 turns, wound around the same basic form so that they have the same length and cross-
sectional area. The first coil is L₁ = 100μH, and they are arranged so that the coupling
coefficient is 0.5. Assume they are surrounded by air (a linear magnetic medium), and Hair =
4π x 10-7.
Find L2 and Lm.
2. A voltage source is connected to one of the inductors and a resistor to the other, as shown
in the figure. Find...
a.
b.
A
The source current and resistor current.
*The power in the resistor.
L₁
5V20°
20kHz
L₂
[
1002
Transcribed Image Text:The general form for the inductance of a solenoid (a long, straight coil of wire) is L = HN²A/₁ where u is the magnetic permeability of the environment, N is the number of turns, A is the cross-section of the coil, and I is the length. Consider two inductor coils with N₁ = 200 turns and N₂ = 400 turns, wound around the same basic form so that they have the same length and cross- sectional area. The first coil is L₁ = 100μH, and they are arranged so that the coupling coefficient is 0.5. Assume they are surrounded by air (a linear magnetic medium), and Hair = 4π x 10-7. Find L2 and Lm. 2. A voltage source is connected to one of the inductors and a resistor to the other, as shown in the figure. Find... a. b. A The source current and resistor current. *The power in the resistor. L₁ 5V20° 20kHz L₂ [ 1002
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