Question

What is the reactance, in units of Ohms, of a capacitance of 3.7 mF at a frequency of 8.0 Hz?

Answer 1

The reactance is 5.4 Ohms

Step-by-step explanation:

The formula for reactance is

Xc = 1 / 2*pi*f*C

By putting the values we get

Xc = 1 / 2* 3.14 * 8 * 0.0037

Xc = 5.4 Ohms

Answer 2

`5.4 \Omega`

Step-by-step explanation:

The reactance in case of a capacitive circuit is given by:

`X_C = (1)/(2 \pi f C)`

where

f is the frequency

C is the capacitance

In this problem, we have

`f=8.0 Hz`

`C=3.7 mF=0.0037 F`

Substituting into the equation above, we find the reactance:

`X_C = (1)/(2\pi (8.0 Hz)(0.0037 F))=5.4 \Omega`