A `100W` bulb is connected to an AC source of `220V`, `50Hz`. Then the current flowing through the bulb is

Options

A. `5/11 A`
B. `1/2 A`
C. `2 A`
D. `3/4 A`

Answer

To find the current flowing through a 100W bulb connected to an AC source of 220V, we can use the relationship between power, voltage, and current. Here’s a step-by-step solution:

### Step 1: Understand the relationship between power, voltage, and current
The power (P) consumed by an electrical device can be expressed using the formula:
\[ P = V \times I \]
where:
- \( P \) is the power in watts (W),
- \( V \) is the root mean square (RMS) voltage in volts (V),
- \( I \) is the root mean square (RMS) current in amperes (A).

### Step 2: Rearrange the formula to solve for current
To find the current \( I \), we can rearrange the formula:
\[ I = \frac{P}{V} \]

### Step 3: Substitute the known values
We know:
- \( P = 100 \, \text{W} \)
- \( V = 220 \, \text{V} \)

Substituting these values into the equation gives:
\[ I = \frac{100 \, \text{W}}{220 \, \text{V}} \]

### Step 4: Calculate the current
Now, we perform the division:
\[ I = \frac{100}{220} = \frac{10}{22} = \frac{5}{11} \, \text{A} \]

### Final Answer
Thus, the current flowing through the bulb is:
\[ I = \frac{5}{11} \, \text{A} \]