For a CE-transistor amplifier, the audio signal voltage across the collected resistance of 2 kΩ is 2 V. Suppose the current amplification factor of the transistor is 100, find the input signal voltage and base current, if the base resistance is 1 kΩ.
Collector resistance, RC = 2 kΩ = 2000 Ω
Audio signal voltage across the collector resistance, V = 2 V
Current amplification factor of the transistor, β = 100
Base resistance, RB = 1 kΩ = 1000 Ω
Input signal voltage = Vi
Base current = IB
We have the amplification relation as:
Voltage amplification $=\frac{V}{V_{i}}=\beta \frac{R_{\mathrm{C}}}{R_{\mathrm{B}}}$
$V_{i}=\frac{V R_{\mathrm{B}}}{\beta R_{\mathrm{C}}}$
$=\frac{2 \times 1000}{100 \times 2000}=0.01 \mathrm{~V}$
Therefore, the input signal voltage of the amplifier is 0.01 V.
Base resistance is given by the relation:
$R_{\mathrm{B}}=\frac{V_{\mathrm{i}}}{I_{\mathrm{B}}}$
$=\frac{0.01}{1000}=10 \times 10 \not \rho \mathrm{A}$
Therefore, the base current of the amplifier is 10 μA.
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