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 X_{C}, C, and ω.

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

Part a. Express the capacitive reactance X_{C}, in terms of C, and ω.

Part b. Calculate the numerical value of X_{C} in ohms

Part c. Express the inductive reactance, X_{L}, in terms of L, and ω.

Part d. Calculate the numerical value of X_{L} in ohms.

Part e. Express the maximum potential difference between a and b, ΔV_{ab,max}, in terms of I_{max} and X_{C}.

Part f. Calculate the numerical value of ΔV_{ab,max }in volts.

Part g. Express the maximum potential difference between b and c, ΔV_{bc,max}, in terms of I_{ma}_{x} and R.

Part h. Calculate the numerical value of ΔV_{bc,max }in volts.

Part i. Express the maximum potential difference between c and d, ΔV_{cd,max}, in terms of I_{max} and X_{L}

Part j. Calculate the numerical value of ΔV_{cd,max} in volts

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Series LRC Circuits concept. You can view video lessons to learn Series LRC Circuits. Or if you need more Series LRC Circuits practice, you can also practice Series LRC Circuits practice problems.