What is the phase angle between the voltage across and the current through a series RLC circuit if XC is 25 ohms, R is 100 ohms, and XL is 75 ohms?

To find the phase angle, first calculate the net reactance (X) of the series RLC circuit. Net reactance is the difference between inductive reactance (XL) and capacitive reactance (XC). Here, X = XL - XC = 75 ohms - 25 ohms = 50 ohms. Next, use trigonometry to find the phase angle. The tangent of the phase angle (θ) is the ratio of net reactance to resistance: tan(θ) = X / R = 50 / 100 = 0.5. The arctangent of 0.5 is approximately 26.6 degrees, rounding to 27 degrees. Finally, determine the phase relationship. Because XL is greater than XC, the circuit is net-inductive. Remember the mnemonic 'ELI the ICE man' (Voltage, E, leads Current, I, in an Inductor, L). Therefore, the voltage leads the current by 27 degrees.