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The input signal given to a CE amplifier having a voltage gain of 150 is Vi=2cos(15t+π3)V_i = 2\cos(15t + \frac{\pi}{3}). The corresponding output signal will be:

A

30cos(15t+π3)30\cos(15t + \frac{\pi}{3})

B

75cos(15t+2π3)75\cos(15t + \frac{2\pi}{3})

C

2cos(15t+5π3)2\cos(15t + \frac{5\pi}{3})

D

300cos(15t+4π3)300\cos(15t + \frac{4\pi}{3})

Step-by-Step Solution

In a Common Emitter (CE) amplifier, there is a phase difference of 180180^{\circ} (or π\pi radians) between the input and output signals. The output voltage magnitude is determined by multiplying the input voltage amplitude by the voltage gain (AvA_v). Given: Voltage gain, Av=150A_v = 150 Input signal, Vi=2cos(15t+π3)V_i = 2\cos(15t + \frac{\pi}{3}) Amplitude of input signal =2= 2 Amplitude of output signal =150×2=300= 150 \times 2 = 300 The output signal will have an added phase of π\pi. Therefore, Output signal Vo=300cos(15t+π3+π)=300cos(15t+4π3)V_o = 300\cos(15t + \frac{\pi}{3} + \pi) = 300\cos(15t + \frac{4\pi}{3}).

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