## AC Parallel Circuit – Current Calculation Method and Resonance

**AC Parallel Circuit:** The circuit in which number of branches are connected in parallel, such that the voltage across them is same, are called ac-parallel circuit. The total current taken by various branches of parallel circuit as a whole is the phasor sum of the currents in that branches. The total current in such cases can be calculated by either of the three methods: i) Phasor Method, ii) Admittance Method, and iii) Symbolic Method OR j operator method.

**i) Phasor Method:** This method of finding the resultant current by drawing a phasor diagram gives clear insight into the problem. However drawing the phasor diagram takes a lot of time and drawing errors cannot be eliminated.

**ii) Admittance Method:** In this method, admittance of the circuit is calculated in which G is reciprocal of the R and is termed as Conductance. While, B is reciprocal of X and is termed as Susceptance.

**iii) Symbolic Method:** Z = (R + j•X), {Rectangular OR Cartesian Notation} = Z•(cosθ+j•Sinθ), {Trigonometric Notation} = Z∠θ, {Polar Notation}.

**Resonance in parallel circuit:** Resultant current drawn by a resonant parallel circuit is minimum, and the circuit is normally called Rejector circuit. If in a parallel circuit one branch consists of R and L in series and another branch consists of C then the Resultant frequency, fo = 1/2*π∗√(1/LC-R²/L²) *Hz. The Phenomenon of Resonance in parallel circuits is normally termed as Current Resonance. Such type of circuit is quite useful in Radio Network.

**Related Post:** You may be interested in following post on Basic Electrical Engineering.

## 2 thoughts on “AC Parallel Circuit – Current Calculation Method and Resonance”