Use this equation to solve: Xc=1/2(Pi)(f)(C)?

4 ⤊

Use this equation to solve: Xc=1/2(Pi)(f)(C)?

Xc=capacitive reactance
Pi=3.14
f=frequency
C=capacitor
Problem: A capacitor of unknown capacitance is wired to an alternating voltage source with a frequency of 60 hertz. if the resulting capcitive reactance is 663ohms, find the capacitance of the capacitor.

2007-06-30 09:32:55 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

3 answers

Xc=1/ [2 π f C]
→
C =1/ [2 π f Xc]
C =1/ [2 π (60)(663)]
C = 1/ [249,945∙1115...]
C = 0∙000 004
C = 4 µF

2007-06-30 09:52:04 · answer #1 · answered by Sparks 6 · 1⤊ 0⤋

Xc = (1 / 2 π f c) F
c = 10^6 / (2.π.f.Xc) µF
c = 10^6 / (377 x 663) µF
c = 4 µF

2007-07-03 23:12:34 · answer #2 · answered by Como 7 · 1⤊ 0⤋

C=1/(6.28 x 60Hz x 663ohms) = 4.003uF

2007-06-30 09:38:59 · answer #3 · answered by ry0534 6 · 2⤊ 0⤋