Question 7.1: An amplifier produces an output voltage of 2 V for an input ...

An amplifier produces an output voltage of 2 V for an input of 50 mV. If the input and output currents in this condition are, respectively, 4 mA and 200 mA, determine:
(a) the voltage gain;
(b) the current gain;
(c) the power gain.

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(a) The voltage gain is calculated from:

A_v=\frac{V_{out}}{V_{in}} =\frac{2 \ V}{50 \ mV} =40

(b) The current gain is calculated from:

A_i=\frac{I_{out}}{I_{in}} =\frac{200 \ mA}{4 \ mA} =50

(c) The power gain is calculated from:

A_p=\frac{I_{out}\times V_{out}}{I_{in}\times V_{in}} =\frac{200 \ mA \times 2 \ V}{4 \ mA \ \times 50 \ mV}=\frac{0.4W}{200μW} =2,000

Note that the same result is obtained from:

A_p=A_i\times A_v=50\times 40=2,000

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