Calculate Resonant Frequency & Capacitive Reactance

[aurao2003]

Homework Statement

Now demonstrate how to calculate resonant frequency. Calculate the capacitive reactance for a 300uF capacitor in series with a 800mH inductor.

Homework Equations

f = 1/2pi(LC)^1/2
Xc = -1/2pifC

Hi
I urgently need this solution checked out for my BTech deadline. The question reads thus:

The Attempt at a Solution

where L = 800mH, C = 300uF

so,
f = 1/2pi(800 x 10^-3 x 300 x 10^-6)
So, f = 10.3 Hz

so, Xc =-1/2pi (10.27 x 300 x 10^-6)

Will my final answer be expressed as a negative?
Any suggestions will be appreciated.
Thanks a lot in advance.

 

[gneill]

Homework Statement

Now demonstrate how to calculate resonant frequency. Calculate the capacitive reactance for a 300uF capacitor in series with a 800mH inductor.

Homework Equations

f = 1/2pi(LC)^1/2
Xc = -1/2pifC

Hi
I urgently need this solution checked out for my BTech deadline. The question reads thus:

The Attempt at a Solution

where L = 800mH, C = 300uF

so,
f = 1/2pi(800 x 10^-3 x 300 x 10^-6)
So, f = 10.3 Hz

so, Xc =-1/2pi (10.27 x 300 x 10^-6)

Will my final answer be expressed as a negative?
Any suggestions will be appreciated.
Thanks a lot in advance.

Technically capacitive reactance is a negative reactance, so best to express it so. Also be sure to assign it the appropriate units! Everything should have units

 

[aurao2003]

Technically capacitive reactance is a negative reactance, so best to express it so. Also be sure to assign it the appropriate units! Everything should have units

So, my final answer is in ohms and negative. Aside from that, is my working okay? I feel its fine but its the determinant for a distinction or a merit.

Thanks.

 

[aurao2003]

be sure to assign it the appropriate unitshttp://www.infoocean.info/avatar2.jpg

Thanks everyone. I take that as a yes! My sincere appreciation and gratitude.