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Chapter 5: Problem 6

a. Given an Early voltage of \(V_{A}=100 \mathrm{~V}\), determine \(r_{o}\) if \(V_{C E_{e}}=8 \mathrm{~V}\) and \(I_{C_{Q}}=4 \mathrm{~mA}\). b. Using the results of part (a), find the change in \(I_{C}\) for a change in \(V_{C E}\) of \(6 \mathrm{~V}\) at the same \(Q\) -point as part (a).

Short Answer

Expert verified
The output resistance \(r_{o}\) is 25 kΩ and the change in the collector current \(\Delta I_{C}\) is 0.24 mA.

Step by step solution

01

Calculate the output resistance \(r_{o}\)

Using the formula \(r_{o} = V_{A}/I_{C_{Q}}\), we substitute the given values \(V_{A} = 100 \mathrm{~V}\) and \(I_{C_{Q}} = 4 \mathrm{~mA}\) to get \(r_{o} = \frac{100}{4} = 25 \mathrm{~k \Omega}\).
02

Calculate the change in the collector current \(\Delta I_{C}\)

Having found the value for the output resistance, we can now determine the change in the collector current. We use the formula \(\Delta I_{C} = \Delta V_{C E}/r_{o}\), where \(\Delta V_{C E} = 6 \mathrm{~V}\), \(r_{o} = 25 \mathrm{~k \Omega}\), thus yielding \(\Delta I_{C} = \frac{6}{25} = 0.24 \mathrm{~mA}\).

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Most popular questions from this chapter

If a transistor amplifier has more than one dic source, can the superposition theorem be applied to obtain the response of each dc source and algebraically add the results?

What is the reactance of a \(10-\mu \mathrm{F}\) capacitor at a frequency of \(1 \mathrm{kHz}\) ? For networks in which the resistor levels are typically in the kilohm range, is it a good assumption to use the short-circuit equivalence for the conditions just described? How about at \(100 \mathrm{kHz}\) ?

Can you think of an analogy that would explain the importance of the dc level on the resulting ac gain?

The input impedance to a common-emitter transistor amplifier is \(1.2 \mathrm{k} \Omega\) with \(\beta=140\), \(r_{o}=50 \mathrm{k} \Omega\), and \(R_{L}=2.7 \mathrm{k} \Omega\). Determine: a. \(r_{e}\) b. \(I_{b}\) if \(V_{i}=30 \mathrm{mV}\). c. \(I_{c}\). d. \(A_{i}=I_{o} / I_{i}=I_{L} / I_{b}\). e. \(A_{v}=V_{o} / V_{i}\)

a. What is the expected amplification of a BJT transistor amplifier if the de supply is set to zero volts? b. What will happen to the output ac signal if the dc level is insufficient? Sketch the effect on the waveform. c. What is the conversion efficiency of an amplifier in which the effective value of the current through a \(2.2-\mathrm{k} \Omega\) load is \(5 \mathrm{~mA}\) and the drain on the \(18-\mathrm{V}\) de supply is \(3.8 \mathrm{~mA}\) ?
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