How many turns of wire would be required to make a 150 mH inductance out of a 33

Question

How many turns of wire would be required to make a 150 mH inductance out of a 33.0 cm long air-filled coil with a diameter of 5.2 cm? 4307 turns O 015 points | Previous Answers Giancoli7 21.P.048. 2/6 Submissions Used ?? Notes Ask Your At a given instant the current through an inductor is 53.0 mA and is increasing at the rate of 100 mA/s. What is the initial energy stored in the inductor if the inductance is known to be 59.0 mH? 17 0225e-05 |× How long does it take for the energy to increase by a factor of 10 from the initial value? 0.114 Submit Assignment Save Assignment Progress Home My Assignments Eitension Request Show hidden icons O Type here to search 7/12/2018

Explanation / Answer

a )

i = 53 m A = 0.053 A

L = 59 mH = 0.059 H

the energy stored is U = 1/2 L i2

U = 0.5 X 0.059 X 0.0532

U = 8.286 X 10-5 J

b )

given

U1 = 10 U = 10 X 1/2 L i2

10 X 1/2 L i12 = 10 X 1/2 L i2  

i1 = 3.16 X 0.053

i1 = 0.16748 A = 167.48

di/dt = 100 mA/sec

( i1 - i2 ) / t = 100

( 167.48 - 53 ) / t = 100

t = ( 167.48 - 53 ) / 100

t = 1.1448 sec

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