Question

Find the capacitance reactance of a 0.1 micro frequency capacitor 50Hz and at 200Hz​

Answer 1

Complete Question:

Find the capacitive reactance of a 0.1 microfarad capacitor with frequency 50Hz and at 200Hz​.

Answer:

I. Capacitive reactance = 31826.86 Ohms.

II. Capacitive reactance = 7956.72 Ohms.

Step-by-step explanation:

Given the following data;

Capacitance = 0.1 uF = 0.0000001 Farad

Frequency = 50 Hz and 200 Hz

To find the capacitive reactance;

Mathematically, the capacitive reactance of an electronic circuit is given by the formula;

`X_(c) = \frac {1}{2 \pi fc}`

Where;

• Xc is capacitive reactance.
• f is the frequency.
• c is the capacitance.

Substituting into the formula, we have;

I. At frequency, f = 50 Hz

`X_(c) = \frac {1}{2 * 3.142 * 50 * 0.0000001}`

`X_(c) = \frac {1}{314.2 * 0.0000001}`

`X_(c) = \frac {1}{0.00003142}`

`X_(c) = 31826.86`

II. At frequency, f = 200 Hz

`X_(c) = \frac {1}{2 * 3.142 * 200 * 0.0000001}`

`X_(c) = \frac {1}{1256.8 * 0.0000001}`

`X_(c) = \frac {1}{0.00012568}`

`X_(c) = 7956.72`