Question

2mV signal produces a 2V output what is the voltage gain​

Answer 1

2mV signal produces a 2V output

$voltage \: gain \: = \frac{output \: voltage \: }{input \: voltage}$

$voltage \: gain \: = \frac{vo}{vi} \\ = \frac{2}{ {2 \times 10}^{ - 3} } = 1000$

Answer 2

$\bigstar$ Given

A 2 mV signal produces a 2 V output

$\bigstar$ To Find

Voltage gain

$\bigstar$ Solution

We know that

$\red{\rm \longrightarrow A_{v}=\dfrac{V_{o}}{V_{i}}}$

Here

• $\rm A_{v}$ = Voltage gain
• $\rm V_{o}$ = Voltage output
• $\rm V_{i}$ = Voltage input

Units

• Voltage (V)

According to the question

We are asked to find the voltage gain

Therefore

We must find "$\rm A_{v}$"

Given that

A 2 mV signal produces a 2 V output

Hence

• $\rm V_{o}$ = 2 V
• $\rm V_{i}$ = 2 mV = 2 × 10⁻³ V

Substituting the values

We get

$\rm \longrightarrow A_{v}=\dfrac{2}{2 \times 10^{-3}} \ V$

$\rm \longrightarrow A_{v}=\dfrac{1}{10^{-3}} \ V$

$\rm \longrightarrow A_{v}=10^{3} \ V$

Therefore

$\pink{\rm \longrightarrow A_{v}=1000 \ V}$

Hence

$\checkmark$ Voltage gain = 1000 V