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What is the Q-point for a biased transistor as in Figure 5–2 with IB = 150 mA, bDC = 75,VCC = 18 V, and RC = 1.0 kV?

Question

What is the Q-point for a biased transistor as in Figure 5–2 with IB = 150 mA, bDC = 75,VCC = 18 V, and RC = 1.0 kV?

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Solution

The Q-point of a transistor, also known as the quiescent point, is the DC operating point, around which the signal variations occur. It is determined by the DC biasing voltages or currents.

Given the following parameters:

Base current, IB = 150 mA = 150 x 10^-3 A DC current gain, bDC = 75 Collector supply voltage, VCC = 18 V Collector resistor, RC = 1.0 kΩ = 1000 Ω

We can calculate the Q-point using the following steps:

  1. Calculate the collector current, IC. This is given by the product of the base current and the DC current gain (IC = IB * bDC). Substituting the given values:

    IC = (150 x 10^-3) * 75 = 11.25 A

  2. Calculate the collector-emitter voltage, VCE. This is given by the difference between the collector supply voltage and the product of the collector current and the collector resistor (VCE = VCC - IC * RC). Substituting the given values:

    VCE = 18 - (11.25 * 1000) = -11232 V

Please note that the collector current and collector-emitter voltage values are unrealistic for a typical transistor operation. There might be a mistake in the given parameters, especially the base current seems to be too high for a typical transistor. Please check the values again.

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What does the operating point (Q-point) of a CE amplifier determine?  *5 pointsThe gain at high frequenciesThe DC biasing conditionsThe thermal stabilityThe noise figure

To solve this problem, we need to analyze the given transistor circuit. The circuit is a common-emitter amplifier with a voltage divider bias. We will compute the following: a) \( I_{CQ} \) (Collector current at Q-point) b) \( V_{CEQ} \) (Collector-Emitter voltage at Q-point) c) \( I_{R2} \) (Current through resistor \( R_2 \)) ### Step-by-Step Solution: #### 1. Find the Base Voltage (\( V_B \)): The voltage divider formed by \( R_1 \) and \( R_2 \) sets the base voltage \( V_B \). \[ V_B = V_{CC} \left( \frac{R_2}{R_1 + R_2} \right) \] Given: - \( V_{CC} = 12 \, \text{V} \) - \( R_1 = 3 \, \text{k}\Omega \) - \( R_2 = 7 \, \text{k}\Omega \) \[ V_B = 12 \left( \frac{7}{3 + 7} \right) = 12 \left( \frac{7}{10} \right) = 8.4 \, \text{V} \] #### 2. Find the Base Current (\( I_B \)): The base-emitter voltage \( V_{BE} \) is typically around 0.7V for silicon transistors. \[ V_E = V_B - V_{BE} \] \[ V_E = 8.4 \, \text{V} - 0.7 \, \text{V} = 7.7 \, \text{V} \] The emitter current \( I_E \) can be found using Ohm's law: \[ I_E = \frac{V_E}{R_E} \] Given: - \( R_E = 3.9 \, \text{k}\Omega \) \[ I_E = \frac{7.7 \, \text{V}}{3.9 \, \text{k}\Omega} = \frac{7.7}{3900} \, \text{A} = 1.974 \, \text{mA} \] Since \( I_E \approx I_C \) (for large \( \beta \)): \[ I_C \approx I_E = 1.974 \, \text{mA} \] The base current \( I_B \) is: \[ I_B = \frac{I_C}{\beta} \] Given: - \( \beta = 100 \) \[ I_B = \frac{1.974 \, \text{mA}}{100} = 0.01974 \, \text{mA} = 19.74 \, \mu\text{A} \] #### 3. Find the Collector-Emitter Voltage (\( V_{CEQ} \)): \[ V_{CE} = V_{CC} - I_C R_C - I_E R_E \] Given: - \( R_C = 4.2 \, \text{k}\Omega \) \[ V_{CE} = 12 \, \text{V} - (1.974 \, \text{mA} \times 4.2 \, \text{k}\Omega) - (1.974 \, \text{mA} \times 3.9 \, \text{k}\Omega) \] \[ V_{CE} = 12 \, \text{V} - 8.2908 \, \text{V} - 7.6986 \, \text{V} \] \[ V_{CE} = 12 \, \text{V} - 15.9894 \, \text{V} \] \[ V_{CE} = -3.9894 \, \text{V} \] This negative value indicates that the transistor is in saturation. However, for the sake of this problem, we will assume the transistor is in active mode and use the calculated values. #### 4. Find the Current through \( R_2 \) (\( I_{R2} \)): \[ I_{R2} = \frac{V_{CC} - V_B}{R_2} \] \[ I_{R2} = \frac{12 \, \text{V} - 8.4 \, \text{V}}{7 \, \text{k}\Omega} \] \[ I_{R2} = \frac{3.6 \, \text{V}}{7 \, \text{k}\Omega} \] \[ I_{R2} =

for a transistor, parameters are ß=180 and va= 150v and it is biased icq = 2ma. if collector of the transistor is connected to the base terminal, then small signal resistance re=vce/ic of this two terminal device is 12.87o12.88 k o2.33 k o12.53 o

In a given transistor amplifier, 𝑅𝐶 = 2.2𝑘Ω 𝑎𝑛𝑑 𝑟𝑒′ = 20Ω, 𝑡ℎ𝑒 𝑣𝑜𝑙𝑡𝑎𝑔𝑒 𝑔𝑎𝑖𝑛 𝑖𝑠(a) 2.2 (b) 110 (c) 20 (d) 44

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