Question

An amplifier has a gain of 60 db. if the input voltage is 3 mv, what is the output voltage?

Answer 1

The output voltage of the amplifier with a gain of 60 dB is 3000 mV.

Step-by-step explanation:

To determine the output voltage of an amplifier with a gain of 60 dB, we start by converting the gain to a voltage ratio. The formula to convert decibels (dB) to a voltage ratio is:

Voltage Ratio = 10^(gain/20)

Using this formula, we can calculate the voltage ratio as follows:

Voltage Ratio = 10^(60/20) = 10^3 = 1000.

Now, we can find the output voltage by multiplying the input voltage by the voltage ratio:

Output Voltage = Input Voltage * Voltage Ratio

= 3 mV * 1000 = 3000 mV.

Answer 2

To calculate the output voltage of an amplifier with a 60 dB gain and an input of 3 mV, you apply the decibel formula resulting in an output voltage of 3 Volts.

Step-by-step explanation:

An amplifier with a gain of 60 dB is capable of increasing the power of an input signal. To find the output voltage when the input voltage is 3 mV, we use the formula for decibels:

Gain (dB) = 20 × log(Voutput/Vinput).
Rearranging this formula to solve for Voutput, we get:
Voutput = Vinput × 10^(Gain(dB)/20).
Substituting the given values:

Voutput = 3 × 10^(-3) × 10^(60/20)

Voutput = 3 × 10^(-3) × 10^3 = 3 × 10^0.
Therefore the output voltage will be 3 Volts.