**Designing an Amplifier with a Gain of 100**

To design an amplifier with a gain of 100, we need to consider the given conditions and select appropriate components to achieve the desired specifications. Here is a step-by-step guide on how to design the amplifier:

**1. Choosing the Transistor:**

The given condition states that we need to use the BC547 transistor with a DC current gain (hfe) of 300. This transistor is a general-purpose NPN transistor commonly used in amplifier circuits.

**2. Determining the Collector Current:**

The next condition states that the collector current should be a minimum of 5mA. To determine the collector current (IC), we can use Ohm's Law:

IC = (VCC - VCE) / RC

Here, VCC is the power supply voltage, VCE is the collector-emitter voltage, and RC is the collector resistor. Since we are using a single power supply of 5V, let's assume VCE to be 0.2V (typical value for BC547) to ensure proper biasing. So, we have:

IC = (5V - 0.2V) / RC

To achieve a minimum collector current of 5mA, we can rearrange the equation and solve for RC:

RC = (5V - 0.2V) / 5mA = 980Ω

Since we are limited to using E24 series resistors, we can select the closest standard resistor value, which is 1kΩ.

**3. Calculating the Base Resistor:**

To properly bias the transistor, we need to calculate the base resistor (RB). We can use the following formula:

RB = (VCC - VBE) / IB

Here, VBE is the base-emitter voltage and IB is the base current. The base-emitter voltage for the BC547 transistor is typically around 0.7V. Given that the DC current gain (hfe) is 300, we can calculate the base current (IB) as:

IB = IC / hfe = 5mA / 300 = 16.7μA

Now, we can calculate the base resistor:

RB = (5V - 0.7V) / 16.7μA = 253.5kΩ

Since we are limited to using resistors smaller than 220kΩ, we can select the closest standard resistor value, which is 220kΩ.

**4. Determining the Feedback Resistor:**

To achieve a gain of 100, we need to provide feedback using a resistor. The feedback resistor (RF) can be calculated using the following formula:

RF = RC * (Av - 1)

Here, Av is the desired voltage gain. Since the gain is given as 100, we have:

RF = 1kΩ * (100 - 1) = 99kΩ

We can select the closest standard resistor value, which is 100kΩ.

**5. Biasing Resistors:**

To properly bias the transistor, we need to add two resistors in the base circuit. We can use a voltage divider configuration with two resistors (R1 and R2):

VB = VCC * (R2 / (R1 + R2))

To ensure a stable biasing voltage (VB), we can

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