An ideal signal voltage source is given by \(v_{s}=5 \sin (5000 t)(\mathrm{mV})\). The peak current that can be supplied by this source is \(0.2 \mu \mathrm{A}\). The desired output voltage across a \(10 \mathrm{k} \Omega\) load resistor is \(v_{o}=100 \sin (5000 t)(\mathrm{mV})\). Design a one-transistor common-emitter amplifier to meet this specification. Use standard resistor values and specify the required value of \(\beta\).