1.

Draw a simple circuit of a CE transistor amplifier. Explain its working. Show that the voltage gain, A_V of the amplifier is given by A_v = - ( beta_(ac) R_L )/(I_i)where beta_(Ac) is the current gain, R_L is the load resistance and r_1 is the input resistance of the transistor. What is the significance of the negative sign in the expression for the voltage gain?

Answer»

Solution :When an a.c. input SIGNAL `V_i` is superimposed on the bias `v_(B E)` the OUTPUT, which is measured between collector and ground, increases
`V_(C C) = V_(CE)+I_C R_L`
` V_(B B) = V_(B E) +I_B R_B`
when`v_i`is notzerowe have
` V_(BE )+V_i = V_(BE)+I_BR_B+DeltaI_B(R_B +R_i)`
`impliesV_i =Delta I_B(R_B +R_I)`
` V_i= r DeltaI_B`
changein `I_B ` causesa changein ` I_C`
HENCE `beta_(a.c) = (DeltaI_C)/( DeltaI_B ) = (I_C)/(I_B)`
As ` DeltaV_(C C)= DeltaV_(CE )+R_LDelta I_C = 0`
` impliesDelta V_(CE ) =- R_LDelta L_C`
`impliesV_0=- R_L Delta I_C`
` = beta _(ac )DeltaI_B R_L`
` implies `Voltagegainof theamplifer
` A_0= (V_0)/( V_i )= (Delta V_(CE ))/( rDelta I_B) = ( - beta_(ac) Delta I_bR_l)/( rDelta I_E)`
` = beta_(ac )(R_L )/(r)`
negative signin tehexperessionshowsthat ouputvoltageand inputvoltagehaephasedifferenceof `pi`


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