The reactance of 2 H inductance in an ac circuit of frequency 50 Hz is

Options

A. `628Omega`
B. `826Omega`
C. `286Omega`
D. `862Omega`

Explanation

To find the reactance of a 2 H inductance in an AC circuit with a frequency of 50 Hz, we can follow these steps:

### Step 1: Identify the given values
- Inductance (L) = 2 H
- Frequency (f) = 50 Hz

### Step 2: Calculate the angular frequency (ω)
The angular frequency (ω) is given by the formula:
\[ \omega = 2 \pi f \]
Substituting the value of frequency:
\[ \omega = 2 \pi \times 50 \text{ Hz} \]

### Step 3: Calculate ω
Calculating the value:
\[ \omega = 2 \times 3.14 \times 50 = 314 \text{ rad/s} \]

### Step 4: Calculate the inductive reactance (XL)
The inductive reactance (XL) can be calculated using the formula:
\[ X_L = L \omega \]
Substituting the values of L and ω:
\[ X_L = 2 \text{ H} \times 314 \text{ rad/s} \]

### Step 5: Calculate XL
Calculating the value:
\[ X_L = 628 \text{ ohms} \]

### Conclusion
The reactance of the 2 H inductance in an AC circuit of frequency 50 Hz is 628 ohms.

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