An alternating current i = 414 sin(2π × 50 × t) is passed through a series circuit having a resistance of 100 Ω and an inductance of 0.31831 H. Determine the expression for the instantaneous value of the voltage across the resistor.

For an R-L-C series circuit connected to an input signal of 4 Vp-p, 1 kHz periodic sinusoidal AC signal, the voltage drop across the resistor R measured with the help of a CRO displays a sine wave occupying 2 units total height with the volts/div knob set at 1 V. What is the RMS current for the circuit if R = 10 Ω?

In a series circuit containing pure resistance and pure inductance, the current and voltage are expressed as: i(t) = 5 sin(314t + 2π3) A v(t) = 15 sin(314t + 5π6) V What is the magnitude of the impedance of the circuit?