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ira [324]
2 years ago
9

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

Engineering
1 answer:
Paraphin [41]2 years ago
5 0

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.

Explanation:

<u>Given the following data;</u>

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

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