In common emitter amplifier, the current gain is 62. The collector resistance and input resistance are `5 k Omega` an `500 Omega` respectively. If the input voltage is 0.01V, the output voltage is

Options

A. `0.62 V`
B. `6.2 V`
C. `62V`
D. `620 V`

Answer

To solve the problem, we will follow these steps:

### Step 1: Understand the given parameters
- Current gain (β) = 62
- Collector resistance (Rc) = 5 kΩ = 5000 Ω
- Input resistance (Re) = 500 Ω
- Input voltage (Vin) = 0.01 V

### Step 2: Write the formula for output voltage (V0)
The relationship between the output voltage (V0), input voltage (Vin), current gain (β), collector resistance (Rc), and input resistance (Re) is given by the formula:

\[ V0 = \beta \times \left(\frac{Rc}{Re}\right) \times Vin \]

### Step 3: Substitute the values into the formula
Now, we will substitute the values into the formula:

\[ V0 = 62 \times \left(\frac{5000}{500}\right) \times 0.01 \]

### Step 4: Simplify the expression
First, simplify the fraction:

\[ \frac{5000}{500} = 10 \]

Now substitute this back into the equation:

\[ V0 = 62 \times 10 \times 0.01 \]

### Step 5: Calculate the output voltage
Now, calculate the output voltage:

\[ V0 = 62 \times 10 \times 0.01 = 62 \times 0.1 = 6.2 \text{ V} \]

### Final Answer
The output voltage (V0) is **6.2 V**.

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