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The formula \( i_c = \alpha \times i_E \) calculates the collector current in a BJT differential amplifier, where α represents the common base current gain and iE is the emitter current.
The calculator uses the formula:
Where:
Explanation: The collector current is directly proportional to the emitter current, with the common base current gain (α) serving as the proportionality constant.
Details: Accurate calculation of collector current is essential for designing and analyzing BJT differential amplifiers, determining amplifier gain, and ensuring proper circuit operation in various electronic applications.
Tips: Enter the common base current gain (α) as a unitless value and the emitter current in Amperes. Both values must be positive numbers.
Q1: What is the typical range for α in BJT transistors?
A: The common base current gain (α) typically ranges from 0.95 to 0.995 for most BJT transistors.
Q2: How does α relate to β (common emitter current gain)?
A: α and β are related by the formula \( \beta = \frac{\alpha}{1 - \alpha} \) or \( \alpha = \frac{\beta}{\beta + 1} \).
Q3: Why is this calculation important for differential amplifiers?
A: In differential amplifiers, the collector current determines the amplifier's gain, bandwidth, and common-mode rejection ratio.
Q4: What factors can affect the accuracy of this calculation?
A: Temperature variations, transistor manufacturing tolerances, and operating conditions can affect the actual α value and thus the accuracy of the calculation.
Q5: Can this formula be used for all BJT configurations?
A: This formula specifically applies to the common-base configuration. Different relationships exist for common-emitter and common-collector configurations.