A npn transistor in a common emitter mode is used as a simple voltage amplifier with a collector current of \[4mA\]. the terminal of a \[8V\] battery is connected to the collector through a load resistance \[{{R}_{L}}\] and to the base through a resistance \[{{R}_{B}}\]. The collector emitter voltage \[{{V}_{CE}}=4V,\] base-emitter voltage \[{{V}_{BE}}=0.6\] and the base current amplification factor \[{{\beta }_{dc}}=100,\]calculate the value of \[{{R}_{B}}.\]

• A. \[{{R}_{B}}=15\,k\Omega \]
• B. \[{{R}_{B}}=200\,k\Omega \]
• C. \[{{R}_{B}}=1\,k\Omega \]
• D. \[{{R}_{B}}=185\,k\Omega \]