https://session.m asteringphysics.co PHY2049C Fall 2016 Ch 31 HW Problem 31.58 P

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https://session.m asteringphysics.co PHY2049C Fall 2016 Ch 31 HW Problem 31.58 Problem 31.58 An L-R-C series circuit has R 80.0 2. LE 0.600 H and C 3 00 F. The ac source has voltage amplitude 90.0 V and angular frequency 120 rad. Mastering Physics: Ch 31 HW Google Chrome Part A What is the maximum energy stored in the inductor? Express your answer to three significant figures and include the appropriate units. 3797 J UL Submit My Answers Give Up incorrect, Try Again, 3 attempts remaining Part B When the energy stored in the inductor is a maximum, how much energy is stored in the capacitor? Express your answer to three significant figures and include the appropriate units. 3796 J Uc Submit My Answers Gve UO Help I Close previous l 22 of 23 l next x 07 PM 40

Explanation / Answer

Here,

for the circuit

impedance , Z = sqrt(R^2 + (1/(w * C) - w * L)^2)

Z = sqrt(80^2 + (1/(120 * 3 *10^-4) - 120 * 0.60 )^2)

Z = 91.41 Ohm

maximum current in the inductor , I = 90/91.41

I = 0.985 A

maximum energy stored in the inductor = 0.5 * 0.60 * 0.985^2
maximum energy stored in the inductor = 0.291 J

b)

at the same instant

as the curent is maximum through capacitor , voltage will be minimumand hence

energy stored is ZERO

c)

maximum voltage across the capacitor

Vc = 1/(w * C) * I

Vc = 1/(120 * 3 *10^-4) * 0.985

Vc = 27.4 V

maximum energy stored in capacitor = 0.5 * 3 *10^-4 * 27.4^2

maximum energy stored in capacitor = 0.113 J

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