explain by words please (24 points total) We\'ve discussed the question of inter
ID: 1776488 • Letter: E
Question
explain by words please
(24 points total) We've discussed the question of internal resistance in a long solenoid used as an inductor. Consider the following: a solenoid is wound with copper wire that has a cross-sectional area of 1.1 × 10-6 m, a diameter of 6.6 cm, a length of 4.2 m and 6400 turns of windings. a. Calculate the dc resistance of the solenoid. (6 points) b. Find the inductance of this solenoid. (6 points) c. At what frequency would the inductive reactance of this solenoid be equal to its dc resistance? 1. (Note: I plan to have covered reactance and impedance by the due date!) (12 points)Explanation / Answer
Given,
A = 1.1 x 10^-6 m^2 ; d = 6.6 cm ; L = 4.2 m ; N = 6400 turns
a)we know that,
R = rho L/A
R = 1.68 x 10^-8 x 4.2/1.1 x 10^-6 = 0.064 Ohm
Hence, R = 0.064 Ohm
b)We know that the inductance of a solenoid is given by:
L = u N^2 A/L
L = 4 pi x 10^-7 x 6400^2 x 1.1 x 10^-6/4.2 = 1.35 x 10^-5 H
Hence, L = 1.35 x 10^-5 H
c)Xl = R
2 pi f L = R
f = R/2 pi L = 0.064/(2 x 3.14 x 1.35 x 10-5) = 755 Hz
Hence, f = 755 Hz
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