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Question

Physics Question on Transistors

Two amplifiers are connected one after the other in series (cascaded). The first amplifier has a voltage gain of 1010 and the second has a voltage gain of 2020. If the input signal is 0.01volt0.01\, volt, what is the output acac signal ?

A

1.5V1.5\, V

B

2V2\, V

C

2.5V2.5\, V

D

3.0V3.0\, V

Answer

2V2\, V

Explanation

Solution

Here, Av1=10,Av2=20,Vi=0.01VA_{v_1} =10, A_{v_2} = 20, V_i = 0.01 \, V Net voltage gain of the two amplifiers connected in series is Av=Av1×Av2=10×20=200A_v = A_{v_1} \times A_{v_2} =10 \times 20 = 200 As Av=Output signal(V0)Input signal(Vi)A_v = \frac{ \text{Output signal} (V_0)}{\text{Input signal} (V_i)} V0=AvVi=(200)(0.01V)=2V\therefore \, \, V_0 = A_v \, V_i =(200)(0.01 V ) = 2 V