o T-Mobile 4:16 PM edugen.wileyplus.com University Physics (University Physies)

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o T-Mobile 4:16 PM edugen.wileyplus.com University Physics (University Physies) en Assignment Chapter 31, Problem 044 An ac generator with Em 229 v ond operating t 392 Hz causes oscilations series RLC croat having R . 222 . L·148 mH, and C-23.3pf. Find (a) the capacitive reactance Xc, (b) the moedane z, and (c) the curent amplitude I. A second capactor of the same capacitance is then connected in series with the other components. Determine whether the values of (d) Xo (e)Z, and (n T increase, decrease, or remain the (a) Number (b) Number (c) Number Units

Explanation / Answer

(a) XC = 1/2fC = 1 / (2 * 392 * 23.3 * 10-6) = 17.4

(b) XL = 2fL = 2 * 392 * (148 * 10-3) = 364.5

Z = [R2 + (XL - XC)2]1/2 = [2222 + (364.5 - 17.4)2]1/2 = 412

(c) Current amplitude, Im = Em/Z = 229/412 = 0.56 A

(d) New net capacitance, C = (23.3 * 10-6) / 2 =11.65 * 10-6 F

XC = 1/2fC = 1 / (2 * 392 * 11.65 * 10-6) = 34.8

(e) Z = [R2 + (XL - XC)2]1/2 = [2222 + (364.5 - 34.8)2]1/2 = 397.5

(f) Im = Em/Z = 229/397.5 = 0.58 A

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