Steps involved while drawing Voltage Phasors for RLC Series Circuit

For V_L = V_C condition

1. Plot the V_R Phasor in a suitable mm graph paper as per scale considered corresponding to the magnitude of V_R Reading. Consider that V_R Phasor as reference and it will be in Phase with Line Current.


2. Plot the V_C Phasor in the same graph paper with the values of V_C Reading as per the previously considered scale, but that V_C will be placed at the tip of V_R phasor lagging the V_R Phasor by 900.


3. From Starting Point (i.e. 0,0) of V_R, draw an arc of value corresponding to V_S Reading represented in the same scale.


4. From tip of the V_C Phasor draw an arc of value corresponding to V_L Reading represented in the same scale.


5. Find out the inter- section Point of the two arcs drawn in steps 3 and 4.


6. From tip of V_C join the above mentioned inter-section point. It will indicate V_L Phasor.


7. From Starting Point (i.e. 0,0) join the mentioned inter-section point. It will indicate V_S Phasor.


8. The Angle formed by V_S with respect to I_S(i.e. V_R also) is called Power Factor Angle. The Power Factor can be calculated from the graph by taking ratio of Base/Hypotenuse.

• For other 3 conditions i.e.I_maximum, V_L > V_C and V_L < V_C Steps 1 to 7 should be repeated by taking corresponding Voltmeter (V_L, V_R, V_C, V_S) readings.