1. A solenoid consists of a coil with length 68 mm, a radius of 23 mm, and 278 t
ID: 1730618 • Letter: 1
Question
1. A solenoid consists of a coil with length 68 mm, a radius of 23 mm, and 278 turns. What is the inductance of the coil? Remember to calculate the cross sectional area correctly, with the right units.
2. The coil has 0.45 A flowing through it. How much energy is stored in the magnetic field of the coil?
3. A tank circuit consists of a 23.6 mH inductor and a 330 µF capacitor. What is the angular resonance frequency (?), and the cyclic resonance frequency (f)?
4. The tank circuit above is driven at an angular frequency of 200 s?1 . What are the impedances ? of the inductor and capacitor?
Explanation / Answer
1) Inductance = u*N^2A / l
where u = permeablility = 4pi*10^-7
N = number of turns , A = cross sectional area
l = length
= 4pi*10^-7*278^2*pi*0.023^2 / 0.068
= 2.37*10^-3 H
= 2.37 mH
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