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Karnataka Board PUCPUC Science 2nd PUC Class 12

In the circuit shown in figure, when the input voltage of the base resistance is 10 V, Vbe is zero and Vce is also zero. Find the values of Ib, Ic and β.

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Question

In the circuit shown in figure, when the input voltage of the base resistance is 10 V, Vbe is zero and Vce is also zero. Find the values of Ib, Ic and β.

Long Answer
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Solution

According to the problem, Vi = 10 V, Resistance, RB = 400 kΩ, VBE = 0, VCE = 0 and RC = 3 kΩ

`V_i - V_(BE) = R_BI_B`

`I_B = ("Voltage across"  R_B)/R_B`

= `10/(400 xx 10^3)`

= `25 xx 10^-6` A

= 25 μA

Voltage across RC = 10 V

`V_(CC) - V_(CE) = I_CR_C`

`I_C = ("Voltage across"  R_C)/R_C`

= `10/(3 xx 10^3)`

= `3.33 xx 10^-3` A

= 3.33 mA

β = `I_C/I_B`

= `(3.33 xx 10^-3)/(25 xx 10^-6)`

= `1.33 xx 10^2`

= 133

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Chapter 14: Semiconductor Electronics - Exercises [Page 93]

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NCERT Exemplar Physics Exemplar [English] Class 12
Chapter 14 Semiconductor Electronics
Exercises | Q 14.32 | Page 93

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