MasteringPhysics: CH 22 Hw10 Secure https://session.masteringphysics.com/myctite

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MasteringPhysics: CH 22 Hw10 Secure https://session.masteringphysics.com/myctitemView?assignmentProblemt.91371013 CH 22 HW10 Practice Problem 22.4 C) 5 of 5 Part A-Practice Problem: Constants In a series arouit, suppose R = i ion. 1 . 310mll, C = 0. 70nF, V-75 V, and w = 3450rad/s. Find the reactance Express your answer in ohms to two significant figures. | 1100 and tano =X/Rt0 a specific R-L-Carat The Girouit layout is shown in (Figure 1). Suppose that is components have values R = 300 . L=60mH, C-0.50 F, V = 50 V, and w 10,000 rad/s Find the reactances XI, Xe. and X, the impedance Z, the current ampitude I the phase angle , and the voltage amplitude across each cirouit element Correct Figure

Explanation / Answer

A)

XL = w*L

= 3450*310*10^-3

= 1100 ohms

B) XC = 1/(w*C)

= 1/(3450*0.7*10^-6)

= 410 ohms

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

= sqrt(110^2 + (1070 - 414)^2)

= 670 ohms

D) I = V/z

= 75/670

= 0.11 A

F) phase angle, phi = tan^-1( (XL - Xc)/R)

= tan^-1((1070 - 414)/110)

= 81 degrees

G) VR = I*R

= 0.1119*110

= 12 V

H) VL = I*XL

= 0.1119*1070

= 120 V

I) VC = I*XC

= 0.1119*414

= 46 V

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