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A transistor having alpha=0.99 and VBE=0...

A transistor having `alpha`=0.99 and `V_BE`=0.7V, is given in the circuit. Find the value of the collector current.

Text Solution

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`{:(alpha," "=0.99),(V_("BE")," "=0.7V):}`
Collector current `(I_(C))`
To find :
`{:(I_(C)," "=?):}` `(I_(C)+I_(B))1k+10kI_(B)+V_(BE)+(I_(C)+I_(B))=1k=12`
`I_(B)=(I_(C))/(beta)"but,"beta=(alpha)/(1-alpha)=(0.99)/(1-0.99)=99`
`I_(B)=(I_(C))/(99)`
`I_(C)=99I_(B)" "...(1)`
`I_(C_+I_(B)+10I_(B)+0.7+I_(C)+I_(B)=12`
`2I_(C)+12I_(B)+0.7=12`
`2I_(C)+12I_(B)+0.7=12`
`2I_(C)+12I_(B)=11.3`
Substitute equation (1).
`2xx9I_(B)+12I_(B)=11.3`
`210I_(B)=11.3`
`I_(B)=(11.3)/(210)=0.0538`
`I_(C)=99xx0.538=5.32mA`
`I_(C)=5.32mA`
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