PARALLEL A.C CIRCUITS:- Notes
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PARALLEL A.C CIRCUITS
#INTRODUCTION:-
• A parallel circuits of two or more series circuit connected in parallel across the same supply as illustrated in figure. a.
• All these series circuits are called the branches of a parallel circuits.
• Depending upon the way in which R,L and c are connected, we have a veriety of a.c parallel circuits.
# PHASOR METHODS AND ITS APPLICATION TO PARALLEL CIRCUITS:
• in this case
ase each branch of the circuit is analysed separately aise circuit using phasor diagram in the same manner in which we have analysed circuit in the previous sections and then the effects of separate branches are combined. • For example, if the total current drawn by the particular parallel circuits to be calculated flowing procedure is adopted:
- The currents in the individual branches and their base angles and determined using the following expressions separately for each branch: I= V/Z and tan phi = X/R
- Then, the phasor diagram is drawn, taking the voltage as a reference phasor. In this case voltage is chosen as a reference quantity because it is common to all the branches of the circuit.
- Finally using this phasor diagram the total current is calculated by phasor addition of all current is the produce is best isolated by numerical example.
A circuit consists of three branches branch a has resistance of 10 ohm branch b has resistance of 6 ohm in series with inductive resistance of 8 home and branch c has a resistance of 4 ohm in series with a capacitive resistance of 9 Ohms dahu circuit is connected across a 230V, 50HZ supply. Find:
- Current in each branch.
- Power factor of each branch.
- Total current taken and power factor of the whole circuit.
- Total power consumed by the circuit.
- Equivalent impedance of the circuit.
Solve this problem :-
Solution is,
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