Physics

PhysicsPAL

From AC Current - Finding the Phase and Resistance of an RLC Circuit - A Physics Problem Solved:

Equation list

$\Delta v=\Delta V_{\max }\sin \omega t$

$i=I_{\max }\sin(wt-\phi )$

$I_{\text{rms}}={\frac {I_{\max }}{\sqrt {2}}}$

$V_{\text{rms}}={\frac {V_{\max }}{\sqrt {2}}}$

$X_{L}=\omega _{L}$

$X_{C}={\frac {1}{\omega C}}$

$Z={\sqrt {R^{2}+(X_{L}-X_{C})^{2}}}$

$\phi =\arctan({\frac {X_{L}-X_{C}}{R}})$

$\Delta V_{\text{max}}=I_{\text{max}}Z$

Quantity chart

Quantity	Variable	Units
Voltage	v, V	Volts, V
Current	i, I	Amps, A
Angular Frequency	ω	rad/s, s-1
Resistance	R	Ohms, Ω
Capacitance	C	Farads, F
Inductance	L	Henry, H
Inductive Reactance	XL	Ohms, Ω
Capacitive Reactance	XC	Ohms, Ω
Phase Angle	φ	radians, degrees
Impedance	Z	Ohms, Ω