# Thread: Xc = 1/2 pie fC

1. ## Xc = 1/2 pie fC

Xc = _1_
piefC

Capacitive Reactance (Xc) in Ohms
Frequency (f) in Hz
Capacitance (C) in Farads in a electrical circuit
Taking 2pie as equal to 6.284

a) how i make 'f' the subject?

b) how do i calculate f when Xc = 318.47 Ohms, C = 1uF (equivalent to 1x10exp-6F)

im really stuck

2. Originally Posted by turbod15b
Xc = _1_
piefC

Capacitive Reactance (Xc) in Ohms
Frequency (f) in Hz
Capacitance (C) in Farads in a electrical circuit
Taking 2pie as equal to 6.284

a) how i make 'f' the subject?

b) how do i calculate f when Xc = 318.47 Ohms, C = 1uF (equivalent to 1x10exp-6F)

im really stuck
The Greek letter $\displaystyle \pi$ is spelled "pi" not "pie."

a) $\displaystyle X_C = \frac{1}{2 \pi fC}$

$\displaystyle 2 \pi C X_C = \frac{1}{f}$

Now invert the fraction:
$\displaystyle f = \frac{1}{2 \pi C X_C}$

b) $\displaystyle f = \frac{1}{2 \pi \cdot 1 \times 10^{-6} \, F \cdot 318.47 \, \Omega} = 49.9749 \, Hz$

-Dan

3. thank you

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# how t com u with ohm using 1/2piefc

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