Im having a problem with a ? in my book.

A 47Ω load resistor is connected in series with a 10 microfared capacitor. At what freq. will the capacitor reach the same value as the load resistor?

I am very lost here Please help.

Aron

 

Xc, the impedence (resistance) of the capacitor is a function of frequency.

Xc=1/(2*pi*f*C)

Plug in 47 ohms and 10uF and solve for f.

 

So I work it like this?

Xc=1/(2*pi*f*c)

2*pi*Xc*c=1/f

f=1/2*pi*47*10*10 -6 power

f=338.62 HZ

 

That's exactly the way to do it.

 

OK. The load resistor is what was confusing me. I wasnt sure if I should sub. its 47 ohms for Xc in the formula.

Thanks a bunch,
Aron

 

The load resistor of 47 ohms is what you were trying to match. It does not have any frequency component to it like a capacitor or inductor so the simple substitution should work.

S@HE

 

StayatHomeElectronics, may I ask what your flag represents?

 

It the state flag of Ohio.

When I was working near Pittsburgh I posted one on my wall in my office, it brought a great deal of conversation because I would never tell people what it was. No one ever guessed either.

 

Well, thanks for telling me! I live in Washington state and our flag has George Washington on it, good heavens! I wish the eastern part of our state would seceed from the west and we'd adopt the name Columbia (after the river), and feature Lewis and Clark on our flag. I know ... it ain't gonna happen.

 

I never knew there was such division in Washington state! But, I guess we're a little off topic here.