Math Problem Statement
請解答
Solution
The image you provided shows a transistor circuit. The goal is to calculate the current flowing through the circuit.
We are given the following:
- The power supply voltage:
- A resistor in series with the collector:
- A resistor in the base:
- A transistor with a current gain (or beta):
Step-by-Step Solution:
-
Assume Transistor in Active Region: We will assume that the transistor is in active mode. The voltage at the base-emitter junction is approximately for a silicon transistor.
-
Determine the Base Voltage : The base voltage is determined by the voltage divider formed by the 200 kΩ resistor and the base-emitter voltage: where ( I_B \approx \frac{12.
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Math Problem Analysis
Mathematical Concepts
Ohm's Law
Transistor Current Relations
Kirchhoff's Voltage Law
Formulas
I = \frac{V}{R}
I_C = \beta \cdot I_B
V_CE = V_{CC} - I_C \cdot R_C
Theorems
Kirchhoff's Voltage Law
Current Gain of a Transistor
Suitable Grade Level
University-level
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