Problem 31.58 Part A An L-R-C series circuit has R = 50.0 , L = 0.800 H , and C

Question

Problem 31.58 Part A An L-R-C series circuit has R = 50.0 , L = 0.800 H , and C = 6.00x10-4 F . The ac source has voltage amplitude 90.0 V and angular frequency 110 rad/s What is the maximum energy stored in the inductor Express your answer to three significant figures and include the appropriate units. Value Units Submit My Answers Give Up 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. Value Units Submit My Answers Give Up Part C What is the maximum energy stored in the capacitor? Express your answer to three significant figures and include the appropriate units. Ue= 1 Value Units Submit My Answers Give Up

Explanation / Answer

R = 50 ohm

XL = w L = 110 x 0.80 = 88 ohm

Xc = 1 / wC = 15.2 ohm

Z = sqrt(R^2 + (XL - XC)^2) = 88.4 ohm

Imax = V/ Z = 1.02 A  

(A) UL = L I^2 /2 = 0.800 x 1.02^2 /2

= 0.415 J

(B) Uc = 0

(C) Vc_max = 1.02 x 15.2 = 15.5 Volt

U = C V^2 /2

U = 0.072 J  

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