Tom.G
Science Advisor
Gold Member
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Sneaky!
C= Capacitance
A= Amps
V= Volts
k= 2652
C= kA / V
C= k⋅(A/V) - - - (V/A)= R but it's a capacitor so (V/A)= Xc (capacitive reactance)
but it's not (V/A), it is (A/V) . so (A/V)≡ 1/Xc
C= k⋅(1/Xc)
Now (1/2652) = 0.000377
The formula @jim hardy gave for Xc has 377 in the denominator. Your formula has moved the reciprocal of 377 to the numerator, which has the same mathematical effect. The factor of 1 million difference between the two is because your formula gives the result directly in microfarads, whereas jims formula answers in farads.
Nice shortcut.
I see @Averagesupernova types faster than I do.
Cheers,
Tom
C= Capacitance
A= Amps
V= Volts
k= 2652
C= kA / V
C= k⋅(A/V) - - - (V/A)= R but it's a capacitor so (V/A)= Xc (capacitive reactance)
but it's not (V/A), it is (A/V) . so (A/V)≡ 1/Xc
C= k⋅(1/Xc)
Now (1/2652) = 0.000377
The formula @jim hardy gave for Xc has 377 in the denominator. Your formula has moved the reciprocal of 377 to the numerator, which has the same mathematical effect. The factor of 1 million difference between the two is because your formula gives the result directly in microfarads, whereas jims formula answers in farads.
Nice shortcut.
I see @Averagesupernova types faster than I do.
Cheers,
Tom