Which of the following is the correct relationship between base and emitter current of a BJT?(1 Point)IE = (β + 1) IBIB = β IEIB = (β + 1) IEIB = I

To determine the correct relationship between the base current (IB) and emitter current (IE) of a Bipolar Junction Transistor (BJT), we can use the fundamental equations that define the operation of BJTs.

Breakdown of the Problem

1. Understand the relationship between the emitter current (IE), base current (IB), and collector current (IC).
2. Identify the parameter β (beta), which is the current gain of the BJT defined as $\beta = \frac{I_C}{I_B}$.

Relevant Concepts

1. By definition, the emitter current $I_E$ can be expressed as: $I_E = I_B + I_C$
2. Since $I_C = \beta I_B$, we can substitute this into the previous equation: $I_E = I_B + \beta I_B = (1 + \beta) I_B$

Analysis and Detail

1. This shows that the emitter current is related to the base current through the factor $(1 + \beta)$.
2. Hence, $I_E = (1 + \beta) I_B$.

Verify and Summarize

We found that the relationship can be succinctly summed up as:

• The emitter current is equal to the sum of the base current and the collector current, which can also be expressed in terms of the base current using the beta factor.

Final Answer

The correct relationship between base and emitter current of a BJT is: $I_E = (1 + \beta) I_B$