Question

Multiple Choice ( Select 1 out of 4 options, for the question below.)
100 micro farad capacitor on 50Hz supply offers capacitive reactance
Options
O 21.33 ohms
O 3.18 47 ohms
15.92 ohms
O
31.847 ohms
Clear Response​

Answer 1

Answer:

15.92 ohms it is hopeful to you

Answer 2

Answer:

The capacitive reactance of the capacitor, $X_{C}$, calculated is $31.847\Omega$.

Therefore, option d) $31.847\Omega$ is correct.

Explanation:

Data given,

The capacitance of the capacitor, C = $100\mu F$ = $100\times 10^{-6}F$ = $10^{-4}F$

The frequency of the capacitor, ν = $50Hz$

The capacitor's capacitive reactance, $X_{C}$ =?

From the formula given below, we can find out the capacitive reactance of the capacitor:

• $X_{C}= \frac{1}{2\pi \nu C}$

After putting the given values of frequency and capacitance in the equation, we get:

• $X_{C}= \frac{1}{2\times 3.14 \times 50\times 10^{-4} }$
• $X_{C}= \frac{10^{4}}{2\times 3.14 \times 50 }$
• $X_{C}= \frac{10^{4}}{314 }$
• $X_{C}= 31.847\Omega$

Hence, the capacitive reactance of the capacitor, $X_{C}$ = $31.847\Omega$.