Don\' t Forget to Give Answers in Specified Units! If you have figures. Please u

Question

Don' t Forget to Give Answers in Specified Units! If you have figures. Please use the numbers given in the text of the problem unless you a a figure in the present problem do not use the numbers shown in the re asked to use the numbers from the figure! yCHIP ID is: zman The amplitude of the voltage across an inductor can be greater than the amplitude of the generator EMF in an AC RLC circuit. Consider an RLC circuit with peak-50 V, R-27.6 s. L-1.64 H, and C- 2.08 F. Find the amplitude of the voltage across the inductor at resonance. he voltage acros:s 0 at tempt (s) made (maximum allowed for credit 5 (after that, multiply credit by & 5 up to 10 attempts

Explanation / Answer

a)

Spatial Length of the pulse

L=c*t =(3*108)(8*10-9)

L=2.4 m

b)

Volume

V=pi*r2*L =pi*(2*10-3)2*2.4

V=3.01*10-5 m3

Energy density With in the pulse

U=E/V =18/(3.01*10-5)

U=596.8 KJ/m3

c)

Since Energy density is given by

U=(1/2)eoEo2

Electric field of laser pulse

Eo=sqrt[2*U/eo] =sqrt[2*596.8*103/8.85*10-12]

Eo=367.25 MV/m

Magnetic field of laser pulse

Bo=Eo/c =(367.25*106)/(3*108)

Bo=1.22 T

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