Parallel RLC Circuit:

Now we connect passive elements R, L, C in parallel along with one current source.

Figure: Parallel RLC Circuit

As the circuit is parallel the voltage v across all of the elements remains same. The source current i is distributed along with the three elements by Kirchhoff's current law.

i = i_R  + i_L  + i_C

Generally

i =  (v/R) + (1/L) ∫ v dt + C dv/dt

Here, we describe conductance, susceptance and admittance.

Conductance G = Reciprocal of resistance

= 1 in mho

Inductive susceptance BL =1/ X _L

Capacitive susceptance BC  = 1 / X _C

Admittance Y = Reciprocal of impedance = 1 /Z