Question

At what frequency will a 6.60-?F capacitor have a reactance of 2.30k? ?

Express your answer with the appropriate units.

Answer 1

Xc= 1/w*c ...w= 2*pie* frequency ...c= capacitance...so...

frequency=1/c*2*pie*X    =10.48 hz

Answer 2

2.3=1/2pif *c

c= 0.0953304 F

C=95.33 mF

Answer 3

here f is the frequency in hertz and C is the capacitance in farads. X is the reactance of the capacitor.So,

x = 2.30 x 10^3 ohms

C= 6.6 x 10^-6 F

So, 2.30 x 10^3 = 1/ (2 pi x 6.6 x 10^-6 x f)

or, f = 1/ (2 pi x 6.6 x 10^-6 x2.30 x 10^3 )

= 1/ (2 pi x 6.6 x 10^-6 x2.30 x 10^3 )

= 1/ 95.3304 x 10^-3

= 10.489 HZ

Answer 4

here f is the frequency in hertz and C is the capacitance in farads. X is the reactance of the capacitor.So,

x = 2.30 x 10^3 ohms

C= 6.6 x 10^-6 F

So, 2.30 x 10^3 = 1/ (2 pi x 6.6 x 10^-6 x f)

or, f = 1/ (2 pi x 6.6 x 10^-6 x2.30 x 10^3 )

= 1/ (2 pi x 6.6 x 10^-6 x2.30 x 10^3 )

= 1/ 95.3304 x 10^-3

= 10.489 HZ