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Chapter 4: Problem 4

In a certain transistor circuit, the base current is 2 percent of the \(30 \mathrm{~mA}\) emitter current. Determine the collector current.

Short Answer

Expert verified
The collector current in the transistor circuit is \(29.4 \mathrm{~mA}\).

Step by step solution

01

Find the base current

The base current is given as 2% of the 30 mA emitter current. To find the base current, we'll multiply the emitter current by the percentage: Base current = \(0.02 \times 30 \mathrm{~mA}\)
02

Calculate the base current

Now, let's compute the base current value: Base current = \(0.02 \times 30 \mathrm{~mA} = 0.6 \mathrm{~mA}\)
03

Apply Kirchhoff's Current Law

According to Kirchhoff's Current Law, the emitter current equals the sum of the base and collector currents: Emitter current = Base current + Collector current
04

Solve for Collector current

We will now rearrange the equation to solve for the collector current: Collector current = Emitter current - Base current
05

Calculate the collector current

Finally, we'll substitute the given values for emitter and base currents: Collector current = \(30 \mathrm{~mA} - 0.6 \mathrm{~mA} = 29.4 \mathrm{~mA}\) Therefore, the collector current in the transistor circuit is 29.4 mA.

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