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W ssignment ResponsesMast?dep 16071678 21 P 012 A generator delivers an AC volta

ID: 1615222 • Letter: W

Question

W ssignment ResponsesMast?dep 16071678 21 P 012 A generator delivers an AC voltage of the form v) sin (9snt) to a capacitor. The maximum current in the drcuit is 0,50 A. the following Av (80 (a) rms voltage of the Find generator (b) frequency of the generator (c) rms current (d) reactance e) value of the capacitance Need Help? Read it te. Tutor l Show My Work optionali Question Detalls sercP8 21 P 021 ssm A resistor (R 9oo l), a capacitor (C o.25 pf), and an inductor (L 2.0 H) are connected in series across a 240 Hz AC source for which av 120 v. Caiculat a O Type here to search

Explanation / Answer

a. Vrms = 80V * .707 = 56.56 v

b. Frequency is going to be 95/2 because the equation is V = Vmax * sin(2 f t)
f = 47.5

c, Irms = 0.50 * .707 = 0.3535

d. the reactance is gonna be Vrms = Irms * Xl or Xc
you found the Vrms and Irms so you just divide Vrms by Irms
Reactance = 56.56/0.3535 = 160

e. use the equation Xc = 1/(2 f C) and solve for Capacitance
C = 1/( Xc 2 f)

you just found the Reactance in part d. so
C = 1/ (160*2**47.5) = 2.094 e -5