Ic = β x Ib is the basic relationship between base and collector current. Rc will impose boundary condition on the maximum collector current. Ic = β x Ib will be true up to the point where Ic is less or equal Vcc/Rc. If you increase base current further collector current will not change. So, Ic...
You can easily design and build a single pole filter (a single resistor and single capacitor). If you need to design a filter with better selectivity, higher order filter, using only passive components you will need a multistage passive circuit. Each stage of this filter will load previous stage...