In a simple AC circuit shown, C = 0.015 F, L = 1.5 H, R = 43 O, and I = I max si

Question

In a simple AC circuit shown, C = 0.015 F, L = 1.5 H, R = 43 O, and I = Imaxsin(?t), where Imax = 6.5 A and ? = 75 rad/s.

Part (a) Express the capacitive reactance, XC, in terms of C, and ?.

Part (b) Calculate the numerical value of XC in ohms.

Part (c) Express the inductive reactance, XL, in terms of L, and ?.

Part (d) Calculate the numerical value of XL in ohms.

Part (e) Express the maximum potential difference between a and b, ?Vab,max, in terms of Imax and XC.

Part (f) Calculate the numerical value of ?Vab,max in volts.

Part (g) Express the maximum potential difference between b and c, ?Vbc,max, in terms of Imax and R.

Part (h) Calculate the numerical value of ?Vbc,max in volts.

Part (i) Express the maximum potential difference between c and d, ?Vcd,max, in terms of Imax and XL.

Explanation / Answer

a) Xc= 1/wC

b)Xc = 1/(75*0.015) = 0.89

c)XL = wL

d)XL = 75*1.5 = 112.5

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