# How to get phase shift in this task and in general?

In the serial circuit connected to the 50 Hz frequency alternating voltage, effective voltage values 𝑈 = 220 V, known voltages 𝑈L = 660 V and 𝑈C = 500 V. The current in the circuit is 11 A. Determine the 𝑅, 𝐿 and 𝐶, and phase shift φ between voltage and current

This is how circuit looks:

I have calculated Xl , Xc R L and by applying ohm's rule R = U / I = 220 / 11 = 20 Ω. Xl = UL / I = 660 / 11 = 60 Ω , Xc = Uc / i = 500 / 11 = 45.45 Ω , and then to find L and C I used formula Xl = wL , where w represents angular frequency, w = 2 * pi * f = 100 pi rad/sec, and the same for C, Xc = 1/ wC. And to find phase shift I used formula Φ = tg-1(X / R) = tg-1( ( 60 - 45.45) / 20) = 36.04 °

Can someone help?

• "The current in the circle ..." Should that read 'circuit'? Show your calculations and we'll see if we can spot the error. – Transistor Jul 21 '19 at 20:45
• Yes it does, I have corrected it – Petar Jul 21 '19 at 20:46
• I have calculated Xl , Xc R L and by applying ohm's rule R = U / I = 220 / 11 = 20 ohm's. Xl = UL / I = 660 / 11 = 60 , Xc = Uc / i = 500 / 11 = 45.45 , and then to find L and C I used formula Xl = wL , where w represents angular frequency, w = 2 * pi * f = 100 pi rad per sec, and the same for C Xc = 1/ wC. And to find phase shift I used formula Φ = tg-1(X / R) = tg-1( ( 60 - 45.45) / 20) = 36.04 degrees – Petar Jul 21 '19 at 20:56
• I know it would be much easier if I just send a picture of calculations but i do not carry phone with me to the library – Petar Jul 21 '19 at 20:57
• Put the calculations into your question rather than in the comments. That way readers don't have to rummage through the comments to understand your question. You can also use HTML &Omega;, &mu;, &deg;, etc. as well as <sup>...</sup> and <sub>...</sub> in the posts but they don't work in the comments. – Transistor Jul 21 '19 at 21:00