In a uniformly doped $\text{BJT}$, assume that $\text{N}_\text{E}, \text{N}_\text{H}$ and $\text{N}_\text{C}$ are the emitter, base and collector dopings in $\text{atoms/cm}^{3}$, respectively. If the emitter injection efficiency of the $\text{BJT}$ is close to unity, which one of the following conditions is $\text{TRUE}?$
- $\mathrm{N}_{\mathrm{E}}=\mathrm{N}_{\mathrm{B}}=\mathrm{N}_{\mathrm{C}}$
- $\mathrm{N}_{\mathrm{E}} \gg \mathrm{N}_{\mathrm{H}}$ and $\mathrm{N}_{\mathrm{B}}>\mathrm{N}_{\mathrm{C}}$
- $\text{N}_{\mathrm{E}}=\mathrm{N}_{\mathrm{B}}$ and $\mathrm{N}_{\mathrm{B}}<\mathrm{N}_{\mathrm{C}}$
- $\mathrm{N}_{\mathrm{E}}<\mathrm{N}_{\mathrm{B}}<\mathrm{N}_{\mathrm{C}}$