A common emitter circuit is used as an amplifier, its current gain is 50. if input resistance is `1kOmega` and input voltage is 5 volt then output current will be

Options

A. 250 mA
B. 30 mA
C. 50 mA
D. 100 mA

Explanation

To find the output current in a common emitter amplifier circuit, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Current gain (β) = 50
- Input resistance (R_in) = 1 kΩ = 1000 Ω
- Input voltage (V_in) = 5 V

2. **Calculate the Base Current (I_B):**
- According to Ohm's Law, the current through the base (I_B) can be calculated using the formula:
\[ I_B = \frac{V_{in}}{R_{in}} \]
- Substituting the values:
\[ I_B = \frac{5 \, \text{V}}{1000 \, \Omega} = 0.005 \, \text{A} = 5 \, \text{mA} \]

3. **Calculate the Collector Current (I_C):**
- The collector current (I_C) can be calculated using the relationship between collector current and base current:
\[ I_C = \beta \times I_B \]
- Substituting the values:
\[ I_C = 50 \times 5 \, \text{mA} = 250 \, \text{mA} \]

4. **Final Answer:**
- The output current (I_C) is 250 mA.

### Summary:
The output current in the common emitter amplifier circuit is **250 mA**.