If $i$ is the current in an $L-C-R$ series $AC$ circuit,what are the formulas for:
$(i)$ Voltage across resistance.
$(ii)$ Voltage across inductor.
$(iii)$ Voltage across capacitor.

(N/A) In an $L-C-R$ series $AC$ circuit,the current $i$ is the same through all components. Let the instantaneous current be $i = I_m \sin(\omega t)$.
$(i)$ The voltage across the resistance $(V_R)$ is given by $V_R = iR$.
$(ii)$ The voltage across the inductor $(V_L)$ is given by $V_L = iX_L$,where $X_L = \omega L$ is the inductive reactance. Thus,$V_L = i(\omega L)$.
$(iii)$ The voltage across the capacitor $(V_C)$ is given by $V_C = iX_C$,where $X_C = \frac{1}{\omega C}$ is the capacitive reactance. Thus,$V_C = i(\frac{1}{\omega C})$.