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Chapter 4: Problem 6

If \(I_{C}\) is 50 times larger than \(I_{b}\), then \(\beta_{0 C}\) is (a) \(0.02\) (b) \(1(x)\) (c) 50 (d) 500

Short Answer

Expert verified
The value of \(\beta_{0 C}\) is 50.

Step by step solution

01

Recall the relationship between collector current, base current, and \(\beta_{0 C}\)

In a bipolar junction transistor, the relationship between collector current \(I_C\), base current \(I_B\), and the transistor parameter \(\beta_{0 C}\) is given by the formula: $$ I_C = \beta_{0 C} \cdot I_B $$ We are given that \(I_{C}\) is 50 times larger than \(I_{B}\). So, we can write the relationship as: $$ I_C = 50 \cdot I_B $$
02

Apply the given information to find the value of \(\beta_{0 C}\)

To determine the value of \(\beta_{0 C}\), we must equate the two expressions for \(I_C\), as obtained from Step 1: $$ \beta_{0 C} \cdot I_B = 50 \cdot I_B $$ To find the value of \(\beta_{0 C}\), we can divide both sides of the equation by \(I_B\): $$ \beta_{0 C} = 50 $$
03

Choose the correct option

Since the value of \(\beta_{0 C}\) is found to be 50, we can conclude that the correct option is: (c) 50

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Most popular questions from this chapter

If the output of a transistor amplifier is \(5 \mathrm{~V}\) rms and the input is \(100 \mathrm{mV}\) ms, the voluge gain is (a) 5 \(\begin{array}{ll}\text { (b) } 500 & \text { (c) } 50\end{array}\) (d) 100

If the base-emitter junction is open, the collector voltage is (a) \(V_{C E}\) (b) \(0 \mathrm{~V}\) (c) flowing (d) \(02 \mathrm{~V}\)

For operation as an amplifier, the base of an new transistor must be (a) positive with respect to the emitter (b) negative with respect to the emitter (c) positive with respect to the collector (d) \(0 \mathrm{~V}\)

Once in saturation, a further increase in base current will (a) cause the collector current to increase (b) not affect the collector current (c) cause the collector current to decrease (d) tum the transistor off

The Boc of a transistor is its \(\begin{array}{ll}\text { (a) current gain } & \text { (b) voltage gain }\end{array}\) (c) power gain (d) internal resistance
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