Final answer:
The question involves understanding the relationship between junction area and base-emitter voltage in transistors operating with equal collector currents. The solution requires transistor equations and additional data, which isn't provided.
Step-by-step explanation:
The student is asking about the effect of different emitter-base junction areas on the base-emitter voltage (Vbe) for two transistors conducting equal collector currents in active mode. It is a problem that relates to semiconductor physics and transistor operation, topics typically covered in electrical engineering coursework. To calculate the difference in Vbe values, one would need to apply the transistor equation that relates current and junction area, but without additional data, such as the emitter efficiency or base transport factor, an exact numerical answer cannot be provided. The question seems to require an understanding of the relationship between the physical dimensions of a transistor and its electronic properties.