An AC power source with \(V_{\mathrm{m}}=220 \mathrm{~V}\) and \(f=60.0 \mathrm{~Hz}\) is connected in a series RLC circuit. The resistance, \(R\), inductance, \(L\), and capacitance, \(C\), of this circuit are, respectively, \(50.0 \Omega, 0.200 \mathrm{H},\) and \(0.040 \mathrm{mF}\). Find each of the following quantities: a) the inductive reactance b) the capacitive reactance c) the impedance of the circuit d) the maximum current through the circuit e) the maximum potential difference across each circuit element

Question: In a series RLC circuit connected to an AC power source with maximum voltage 220 V and frequency 60.0 Hz, the resistance is 50.0 Ω, inductance is 0.200 H, and capacitance is 0.040 mF. Calculate the following quantities: a) inductive reactance b) capacitive reactance c) impedance of the circuit d) maximum current through the circuit e) maximum potential difference across each circuit element Answer: a) Inductive reactance, \(X_L = 75.4 \Omega\). b) Capacitive reactance, \(X_C = 66.32 \Omega\). c) Impedance of the circuit, \(Z = 54.8 \Omega\). d) Maximum current through the circuit, \(I_{m} = 4.01 A\). e) Maximum potential difference across each circuit element: \(V_R = 200.5 V\), \(V_L = 302.3 V\), and \(V_C = 266.0 V\).