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# Problem: In a simple AC circuit shown on the right, C = 0.085 F, L = 1.9 H, R = 39 O, and I = Imaxsin(ωt), where Imax = 4.5 A and ω = 65 rad/s.Part a. Express the capacitive reactance XC, in terms of C, and ω.Part b. Calculate the numerical value of XC in ohmsPart c. Express the inductive reactance, XL, in terms of L, and ω.Part d. Calculate the numerical value of XL in ohms.Part e. Express the maximum potential difference between a and b, ΔVab,max, in terms of Imax and XC.Part f. Calculate the numerical value of ΔVab,max in volts.Part g. Express the maximum potential difference between b and c, ΔVbc,max, in terms of Imax and R.Part h. Calculate the numerical value of ΔVbc,max in volts.Part i. Express the maximum potential difference between c and d, ΔVcd,max, in terms of Imax and XLPart j. Calculate the numerical value of ΔVcd,max in volts

###### FREE Expert Solution

In this problem, we are going to state the expressions relating to quantities in RLC circuits and calculate their numerical values.

Part a.

We are required to give the expression that relates the capacitive reactance XC, C, and ω.

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###### Problem Details

In a simple AC circuit shown on the right, C = 0.085 F, L = 1.9 H, R = 39 O, and I = Imaxsin(ωt), where Imax = 4.5 A and ω = 65 rad/s.

Part a. Express the capacitive reactance XC, in terms of C, and ω.

Part b. Calculate the numerical value of XC in ohms

Part c. Express the inductive reactance, XL, in terms of L, and ω.

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

Part e. Express the maximum potential difference between a and b, ΔVab,max, in terms of Imax and XC.

Part f. Calculate the numerical value of ΔVab,max in volts.

Part g. Express the maximum potential difference between b and c, ΔVbc,max, in terms of Imax and R.

Part h. Calculate the numerical value of ΔVbc,max in volts.

Part i. Express the maximum potential difference between c and d, ΔVcd,max, in terms of Imax and XL

Part j. Calculate the numerical value of ΔVcd,max in volts