a circuit contains 2 elements 3. [20] A voltage V = 0.950 sin 754t is applied to

Question

a circuit contains 2 elements 3. [20] A voltage V = 0.950 sin 754t is applied to a series LRC circuit (I is in amperes, t is in seconds, V is in volts, and the "angle" is in radians) which has L 220 mH, R- 23.2 kQ, and C = 0.420 F. (a) How much power (average) is dissipated in the circuit? (b) Is this a critically damped, overdamped or underdamped circuit? WHY? You must base your answer in numbers, not words. 1201 An oscillator with a mass of 450 g and a period ot 012s ring each complete oecilnha iu dhe dasauna ray be reduced to 10% of its initial value?

Explanation / Answer

3. w = 754 rad/s

R = 23200 Ohm

XL = w L = 754 x 0.022 = 16.6 ohm

Xc = 1/ wC = 1/ (754 x 0.420 x 10^-6) = 3158 Ohm

Z = sqrt[ R^2 + (XL - xC)^2] = 23.4 x 10^3 ohm Or 23.4 k Ohm

I = V/Z = 4.057 x 10^-5 A  

Irms = I / sqrt(2) = 2.869 x 10^-5 A  

P = Irms^2 R = 1.91 x 10^-5 Watt ....Ans

(B ) a = R / 2L = 527273

and b^2 = (R/2L)^2 - (1/LC)^2

b^2 = (527273)^2 - (108225108)^2 < 0

when b^2 < 0 So Underdamped

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