1.

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

Answer»

\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



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