In the study of a transistor as an amplifier, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) We know that the emitter current is the sum of the collector current and the base current:$I_{E} = I_{C} + I_{B}$Dividing both sides by $I_{C}$:$\

Vedclass · Accepted Answer

$\beta = \frac{\alpha}{1 - \alpha}$

Vedclass · Answer

(B) We know that the emitter current is the sum of the collector current and the base current:$I_{E} = I_{C} + I_{B}$Dividing both sides by $I_{C}$:$\frac{I_{E}}{I_{C}} = 1 + \frac{I_{B}}{I_{C}}$Since $\alpha = \frac{I_{C}}{I_{E}}$,it follows that $\frac{1}{\alpha} = \frac{I_{E}}{I_{C}}$.Since $\beta = \frac{I_{C}}{I_{B}}$,it follows that $\frac{1}{\beta} = \frac{I_{B}}{I_{C}}$.Substituting these into the equation:$\frac{1}{\alpha} = 1 + \frac{1}{\beta}$Rearranging to solve for $\frac{1}{\beta}$:$\frac{1}{\beta} = \frac{1}{\alpha} - 1 = \frac{1 - \alpha}{\alpha}$Therefore,$\beta = \frac{\alpha}{1 - \alpha}$.

In the study of a transistor as an amplifier,if $\alpha = \frac{I_{C}}{I_{E}}$ and $\beta = \frac{I_{C}}{I_{B}}$,where $I_{C}$,$I_{B}$,and $I_{E}$ are the collector,base,and emitter currents respectively,then:

Similar Questions

In a $PNP$ transistor,the base is the $N$-region. Its width relative to the $P$-region is

$A$ transistor is connected in a common emitter configuration with $R_o = 4 \text{ k}\Omega$,$R_i = 1 \text{ k}\Omega$,$I_C = 1 \text{ mA}$,and $I_b = 20 \text{ }\mu\text{A}$. The voltage gain is:

In a $NPN$ transistor,$10^8$ electrons enter the emitter in $10^{-8} \ s$. If $1\%$ of electrons are lost in the base,the fraction of current that enters the collector and the current amplification factor $\beta$ are respectively:

The current gain $\beta$ of a transistor is $50$. The input resistance of the transistor when used in the common emitter mode is $1\,k\Omega$. The peak value of the collector current for an input peak voltage of $0.01\,V$ is ...... $\mu A$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module