Ncert Exercises & Solutions

In the circuit shown in the figure, when the input voltage of the base resistance is 10 V, V_BE is zero and V_CE is also zero. Find the value of $I_{B}, I_{C} and β .$

Hint:

V_{i} - V_{BE} = i_{B} R_{B} and V_{CC} - V_{CE} = i_{C} R_{C}

Step 1: Find the base current.

Given,

voltage across R_{B} = 10 V

Resistance R_{B} = 400 kΩ

V_{BE} = 0, V_{CE} = 0, R_{C} = 3 kΩ

I_{B} = \frac{Voltage across R_{B}}{R_{B}} = \frac{10}{400 \times 10^{3}} = 25 \times 10^{- 6} A = 25 μA

Step 2: Find the collector current.

Voltage across R_{C} = 10 V

I_{C} = \frac{Voltage across R_{C}}{R_{C}} = \frac{10}{3 \times 10^{3}}

= 3.33 \times 10^{- 3} A = 3.33 mA

β = \frac{I_{C}}{I_{B}} = \frac{3.33 \times 10^{- 3}}{25 \times 10^{- 6}}

= 1.33 \times 10^{2} = 133

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