Operating Point Of A Bipolar Junction Transistor

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{5}A_{51} Base Sequence = 12735 String Sequence = 12735 - 5 - 51**

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Operating Point Of A Bipolar Junction Transistor

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Figure 122.4 illustrates a Bipolar Junction Transistor (BJT) self-bias DC Circuit. Determine the *operating point* of the transistor in the circuit given the following circuit values:

R_{1} = 100 kΩ; R_{2} = 50 kΩ; R_{C} = 5 kΩ; R_{E} = 3 kΩ;

V_{CC} = 15 V; offset voltage, V_{γ} = V_{BE} = 0.7;

Current gain, β = I_{C}/I_{B} = 100.

**The strings**:
S_{7}P_{5}A_{51} (Physical Change).
**The math**:

Pj Problem of Interest is of type *change* (physical change). Transistors are primarily used for signal *amplification* and *switching*. Both are *change* problems.

The *operating point* (also called the *Q point* and the *quuiescent*) of a device is the *steady state* DC currents and voltages present at the terminals of the device.

Operating Point of interest: I_{BQ}; I_{CQ}; V_{CEQ};

Where the Q indicates value is a Q point.

Formulas of interest:

I_{BQ} = (V_{BB} - V_{BE})/[R_{B} + (β + 1)R_{E}]------(1)

Where V_{BB}= base voltage; R_{B} = base resistor.

I_{CQ} = βI_{BQ} -------(2)

V_{CEQ} = V_{CC} - I_{CQ}[R_{C} + ((β + 1)/β)R_{E}]------(3).

Equation (3) is the *load-line equation*. The intersection of the *load-line equation* and the *I _{C} - V_{CE} characteristic curve for a given I_{B}* defines the

Now, V

Base resistance, R

So, by equation (1), I

So, by equation (2), I

So, by equation (3), V

So, the Q point (operating point) of transistor is given by:

V

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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