The question doesn't say to neglect the LED voltage which can vary from 1.5 to 4 volts depending on the colour of the LED. Thus you have to include it since Vcc is just 10V and 2V across the LED can be quite significant.i think the voltage drop of LED is neglected, as it only just need 20mA on Ic , The problem states that What voltage (Vin) does it need to produce that 20mA on Ic
1 Volt across the resistor *2 +Vbe = 2.7 VoltsHmm,
Ib_min = 200uA so if safety margin is 2*Ib_min = 400uA
Vin = Ib*Rb +Vbe = 2V+Vbe
Or
Vin = 200uA*5K + Vbe = 1.7V----> 2*1.7V = 3.4v
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