Question

Determine Zᵢₙ by measuring the voltage drop across the 10kΩ resistor using the multimeter on the DC(mV) setting. Think of the transistor circuit as being a simple resistor Zᵢₙ, which is in series with the 10kΩ resistor and connected to ground. Deduce a third value for β from Zᵢₙ ≈βRₑ where Rₑ =3.3kΩ.

Compare all the values you found for β=hFₑwith the range of values given in the 2N3904 data sheet.

Answer 1

To determine the input impedance Zᵢₙ of a transistor circuit, the voltage drop across a known resistor is measured and Ohm's law is applied. The current gain β of the transistor can then be calculated and compared with the data sheet's specifications, ensuring the consistency of results by comparing power supplied and power dissipated.

Step-by-step explanation:

To determine Zᵢₙ, or the input impedance of the transistor circuit, one should measure the voltage drop across a known resistor (in this case, the 10kΩ resistor) in the circuit. This is typically done using a multimeter set to the appropriate DC voltage measurement range. After measuring the voltage drop, you can apply Ohm's law (V = IR) to find the current through the resistor and subsequently the input impedance Zᵢₙ.

The transistor's current gain β can then be deduced from Zᵢₙ using the given formula Zᵢₙ ≈ βRₑ where Rₑ is the emitter resistance (3.3kΩ for this example). Comparing the calculated value of β with the range provided in the 2N3904 data sheet allows for verification of the results against the manufacturer's specifications.

Power dissipation in resistors is a critical aspect of circuit analysis. It can be calculated as P = I²R, where P is the power dissipated, I is the current through the resistor, and R is the resistance. Ensuring that the power dissipated by the resistors equals the power supplied by the voltage source is essential for validating the accuracy of the circuit analysis.