Example Resonance currents

Determine the capacitance value of the capacitor at which the resonance of currents is possible. Build a vector diagram.

Given:


R1 = 40 Ohm
R2 = 10 ohm
f = 50 Hz


Decision:



Current resonance condition:



Determine the value of the conductances of the branches:



Solving a quadratic equation, we get two positive roots with values
reactive resistance Xc1 = 78.7; Xc2 = 1.25 ohm
choose one value Xc2 = 1.25 ohm and calculate the current:



Construction of the vector diagram