RLC in parallel
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RCL parallel circuit can be considered as two reactance's XC and XL where the currents are in phase opposition in parallel with the resistor.
Through the use of the phasor diagram the effective total resistance can be found . It can be observed that IR is at the base of the right triangle and IL minus IC minus IL forming the perpendicular.
The amplitude of the resultant current is the hypotenuse.
To calculate the resultant we use the Pythagorean theorem . Ic and IL are 180 degree out of phase therefore cancel out. The resultant current is the difference between the two.
Impedance phase angle is calculated from the difference between IL and IC divided by IR