What Are the Correct Calculations for Reactance in a Parallel RLC Circuit?

[DethRose]

Hey

im in first year electronics and have a problem with a parallel rlc circuit

im trying to find the reactance (Xc and Xl) for a circuit that has a 500 ohm resister and a .01 microfarad capacitor in parallel with a 500 ohm resistor and a .5 mH inductor. The frequency of the circuit is 50 KhZ

here are my calculations

xc= 1/(2)(pie)(50khz)(.01microfarads)
= 0.32

xl= (2)(pie)(50khz)(.0005H)
=0.157

but i had them both marked wrong...help with this would be very much appreciated

 

[Andrew Mason]

im trying to find the reactance (Xc and Xl) for a circuit that has a 500 ohm resister and a .01 microfarad capacitor in parallel with a 500 ohm resistor and a .5 mH inductor. The frequency of the circuit is 50 KhZ

here are my calculations

xc= 1/(2)(pie)(50khz)(.01microfarads)
= 0.32

xl= (2)(pie)(50khz)(.0005H)
=0.157

You have used the right approach to work out the capacitive reactance and inductive reactance but you have to check your math. You are out by a factor of 1000 in each case.

To find the total reactance you have to subtract the capacitive from the inductive reactance.

AM

 

[thepatientmental]

Hi there,

Thank you for sharing your question about a parallel RLC circuit. It seems like you have made some good progress in your calculations. However, there are a few things to consider:

1. The units for frequency should be in Hertz (Hz), not kilohertz (kHz). So, the frequency in your calculations should be 50,000 Hz instead of 50 kHz.

2. The formula for capacitance (C) is C = 1/(2πfXc), where f is the frequency in Hz and Xc is the capacitive reactance in ohms. So, your calculation for Xc should be:

Xc = 1/(2π*50,000*0.01*10^-6) = 318.3 ohms

3. Similarly, the formula for inductance (L) is L = Xl/(2πf), where f is the frequency in Hz and Xl is the inductive reactance in ohms. So, your calculation for Xl should be:

Xl = (2π*50,000*0.5*10^-3) = 157.1 ohms

I hope this helps clarify your calculations. Remember to always pay attention to the units and formulas when solving problems in electronics. Good luck with your studies!