In a common base mode of a transition , the collector current is `5.488 mA` for an emitter currect of `5.60 mA` . The value of the base current amplification factor `(beta)` will be

Options

A. 49
B. 50
C. 51
D. 48

Answer

To find the base current amplification factor (β) in a common base mode of a transistor, we can follow these steps:

### Step 1: Identify the given values
- Collector current (Ic) = 5.488 mA
- Emitter current (Ie) = 5.60 mA

### Step 2: Calculate the base current (Ib)
The base current can be calculated using the relationship:
\[ I_b = I_e - I_c \]
Substituting the values:
\[ I_b = 5.60 \, \text{mA} - 5.488 \, \text{mA} \]
\[ I_b = 0.112 \, \text{mA} \]

### Step 3: Calculate the base current amplification factor (β)
The base current amplification factor (β) is defined as the ratio of the collector current (Ic) to the base current (Ib):
\[ \beta = \frac{I_c}{I_b} \]
Substituting the values:
\[ \beta = \frac{5.488 \, \text{mA}}{0.112 \, \text{mA}} \]
Calculating this gives:
\[ \beta = 49 \]

### Final Answer
The value of the base current amplification factor (β) is **49**.

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