Given the formula Xc=1/6.28fC, find C if Xc =500 and f=2000.

What are the rules that take me from 500/1 = 1/6.28*2000*C to the next step of: C=1*1/500*6.28*2000 ?

2 answers

The * is showing a multiplication sign. The number before / is the numerator and after is the denominator. This has to do with proportions and cross products but I am not understanding the rules/principles here.
easy...

capreactance=(1/(2PI*f*C)

multiply each side by C, and divide by capreactance.

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