1.

Determine V_(CE) in the following silicon based transistor circuit

Answer»

6.8V
2.0 V
5.9 V
2.4 V

Solution :
USING KVL to CE circuit
`V_(C C) = i_(C) R_(C ) + V_(CE) + i_(E) R_(E)`
`=i_(C) R_(C) + V_(CE) + i_(C) R_(E) " " ( :. i_(E) ~~ i_(C))`
`rArr V_(CE) = V_(C C) - i_(C) (R_(C)+ R_(E))`…(i)
By Ohm.s law, current `i_(1)` is:
`i_(1) = (V_(C C))/(R_(1) + R_(2)) = (10V)/(15 k Omega) = (2)/(3) mA`
Now, `V_(2) = i_(1) R_(2)`
`= (2)/(3) mA xx 5 k Omega = (10)/(3)`
`V_(2) = 3.3V`
KVL to base circuit gives, `V_(2) = V_(BE) + i_(E) R_(E)`
For silicon transistor, `V_(BE) = 0.7 V rArr i_(E) = (V_(2) - V_(BE))/(R_(E))`
`=(3.3 - 0.7)/(526) ~~ 5mA`
So, `i_(C) ~~ i_(E) = 5mA`
HENCE, from Eq (i) `V_(CE)` is
`V_(CE) = V_(C C) - i_(C) (R_(C) + R_(B))`
`=10 - 5mA (1 k Omega + 526 Omega)`
`~~2.4V`


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