For a transistor amplifier power gain and voltage gain are `7.5 and 2.5` respectively. The value of the current gain will be

Options

A. `0.33`
B. `0.66`
C. `0.99`
D. `3`

Answer

To find the current gain of a transistor amplifier given the power gain and voltage gain, we can use the relationship between these quantities. Here's a step-by-step solution:

### Step 1: Understand the relationship
The relationship between power gain (PG), voltage gain (VG), and current gain (IG) is given by the formula:
\[ PG = VG \times IG \]

### Step 2: Substitute the known values
We know the values of power gain and voltage gain from the question:
- Power Gain (PG) = 7.5
- Voltage Gain (VG) = 2.5

Substituting these values into the formula gives:
\[ 7.5 = 2.5 \times IG \]

### Step 3: Solve for current gain (IG)
To find the current gain (IG), we can rearrange the equation:
\[ IG = \frac{PG}{VG} \]
Now substitute the values:
\[ IG = \frac{7.5}{2.5} \]

### Step 4: Perform the calculation
Calculating the right side:
\[ IG = 3 \]

### Conclusion
The value of the current gain is:
\[ IG = 3 \]

### Final Answer
The current gain is 3.

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